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1025516412 = 2232198391787
BaseRepresentation
bin111101001000000…
…010001101111100
32122110200122001100
4331020002031330
54100013011122
6245432213100
734261513524
oct7510021574
92573618040
101025516412
11486971728
1224753a190
1313460245b
149a2b0684
1560071aac
hex3d20237c

1025516412 has 72 divisors (see below), whose sum is σ = 2733494400. Its totient is φ = 323280288.

The previous prime is 1025516369. The next prime is 1025516441. The reversal of 1025516412 is 2146155201.

1025516412 is a `hidden beast` number, since 10 + 2 + 5 + 5 + 1 + 641 + 2 = 666.

It is a super-3 number, since 3×10255164123 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572983 + ... + 574769.

It is an arithmetic number, because the mean of its divisors is an integer number (37965200).

Almost surely, 21025516412 is an apocalyptic number.

1025516412 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 1025516412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366747200).

1025516412 is an abundant number, since it is smaller than the sum of its proper divisors (1707977988).

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

1025516412 is a wasteful number, since it uses less digits than its factorization.

1025516412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1025516412 is about 32023.6851720722. The cubic root of 1025516412 is about 1008.4341360297.

The spelling of 1025516412 in words is "one billion, twenty-five million, five hundred sixteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 839 1678 1787 2517 3356 3574 5034 5361 7148 7551 10068 10722 15102 15941 16083 21444 30204 31882 32166 33953 47823 63764 64332 67906 95646 101859 135812 143469 191292 203718 286938 305577 407436 573876 611154 1222308 1499293 2998586 4497879 5997172 8995758 13493637 17991516 26987274 28486567 53974548 56973134 85459701 113946268 170919402 256379103 341838804 512758206 1025516412