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1025439912 = 23347239829
BaseRepresentation
bin111101000111101…
…111100010101000
32122110112202010000
4331013233202220
54100003034122
6245430423000
734261044510
oct7507574250
92573482100
101025439912
1148691a202
12247501a60
131345a66a3
149a290840
15600590ac
hex3d1ef8a8

1025439912 has 160 divisors (see below), whose sum is σ = 3425558400. Its totient is φ = 280215936.

The previous prime is 1025439911. The next prime is 1025439959. The reversal of 1025439912 is 2199345201.

1025439912 is a `hidden beast` number, since 1 + 0 + 254 + 399 + 12 = 666.

It is a super-3 number, since 3×10254399123 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025439911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99414 + ... + 109242.

It is an arithmetic number, because the mean of its divisors is an integer number (21409740).

Almost surely, 21025439912 is an apocalyptic number.

1025439912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025439912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712779200).

1025439912 is an abundant number, since it is smaller than the sum of its proper divisors (2400118488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1025439912 is a wasteful number, since it uses less digits than its factorization.

1025439912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9877 (or 9864 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1025439912 is about 32022.4907213664. The cubic root of 1025439912 is about 1008.4090601658.

The spelling of 1025439912 in words is "one billion, twenty-five million, four hundred thirty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 81 84 92 108 126 138 161 162 168 184 189 207 216 252 276 322 324 378 414 483 504 552 567 621 644 648 756 828 966 1134 1242 1288 1449 1512 1656 1863 1932 2268 2484 2898 3726 3864 4347 4536 4968 5796 7452 8694 9829 11592 13041 14904 17388 19658 26082 29487 34776 39316 52164 58974 68803 78632 88461 104328 117948 137606 176922 206409 226067 235896 265383 275212 353844 412818 452134 530766 550424 619227 678201 707688 796149 825636 904268 1061532 1238454 1356402 1582469 1592298 1651272 1808536 1857681 2034603 2123064 2476908 2712804 3164938 3184596 3715362 4069206 4747407 4953816 5425608 5573043 6103809 6329876 6369192 7430724 8138412 9494814 11146086 12207618 12659752 14242221 14861448 16276824 18311427 18989628 22292172 24415236 28484442 36622854 37979256 42726663 44584344 48830472 56968884 73245708 85453326 113937768 128179989 146491416 170906652 256359978 341813304 512719956 1025439912