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1005422472 = 2332113191647
BaseRepresentation
bin111011111011011…
…000011110001000
32121001212202100100
4323323120132020
54024342004342
6243433405400
733625643565
oct7373303610
92531782310
101005422472
1147659786a
12240869860
131303b8352
149775d86c
155d402e4c
hex3bed8788

1005422472 has 96 divisors (see below), whose sum is σ = 2765767680. Its totient is φ = 329925120.

The previous prime is 1005422471. The next prime is 1005422501. The reversal of 1005422472 is 2742245001.

It is not an unprimeable number, because it can be changed into a prime (1005422471) 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 23 ways as a sum of consecutive naturals, for example, 1553653 + ... + 1554299.

It is an arithmetic number, because the mean of its divisors is an integer number (28810080).

Almost surely, 21005422472 is an apocalyptic number.

1005422472 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 1005422472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382883840).

1005422472 is an abundant number, since it is smaller than the sum of its proper divisors (1760345208).

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

1005422472 is a wasteful number, since it uses less digits than its factorization.

1005422472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1005422472 is about 31708.3974997161. The cubic root of 1005422472 is about 1001.8042334506.

Adding to 1005422472 its reverse (2742245001), we get a palindrome (3747667473).

The spelling of 1005422472 in words is "one billion, five million, four hundred twenty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 191 226 339 382 452 573 647 678 764 904 1017 1146 1294 1356 1528 1719 1941 2034 2292 2588 2712 3438 3882 4068 4584 5176 5823 6876 7764 8136 11646 13752 15528 21583 23292 43166 46584 64749 73111 86332 123577 129498 146222 172664 194247 219333 247154 258996 292444 370731 388494 438666 494308 517992 584888 657999 741462 776988 877332 988616 1112193 1315998 1482924 1553976 1754664 2224386 2631996 2965848 4448772 5263992 8897544 13964201 27928402 41892603 55856804 83785206 111713608 125677809 167570412 251355618 335140824 502711236 1005422472