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553796964 = 2232717257503
BaseRepresentation
bin100001000000100…
…100010101100100
31102121001210121200
4201000210111210
52113233000324
6130541442500
716503124260
oct4100442544
91377053550
10553796964
11264670946
12135570430
138a96c816
145379b0a0
1533942ec9
hex21024564

553796964 has 144 divisors (see below), whose sum is σ = 1703939328. Its totient is φ = 148045824.

The previous prime is 553796941. The next prime is 553796977. The reversal of 553796964 is 469697355.

It is a self number, because there is not a number n which added to its sum of digits gives 553796964.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100737 + ... + 1101239.

It is an arithmetic number, because the mean of its divisors is an integer number (11832912).

Almost surely, 2553796964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553796964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851969664).

553796964 is an abundant number, since it is smaller than the sum of its proper divisors (1150142364).

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

553796964 is a wasteful number, since it uses less digits than its factorization.

553796964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 789 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The square root of 553796964 is about 23532.8911101037. The cubic root of 553796964 is about 821.2023626309.

The spelling of 553796964 in words is "five hundred fifty-three million, seven hundred ninety-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 257 306 357 476 503 514 612 714 771 1006 1028 1071 1428 1509 1542 1799 2012 2142 2313 3018 3084 3521 3598 4284 4369 4527 4626 5397 6036 7042 7196 8551 8738 9054 9252 10563 10794 13107 14084 16191 17102 17476 18108 21126 21588 25653 26214 30583 31689 32382 34204 39321 42252 51306 52428 59857 61166 63378 64764 76959 78642 91749 102612 119714 122332 126756 129271 153918 157284 179571 183498 239428 258542 275247 307836 359142 366996 387813 517084 538713 550494 718284 775626 904897 1077426 1100988 1163439 1551252 1809794 2154852 2197607 2326878 2714691 3619588 4395214 4653756 5429382 6592821 8144073 8790428 10858764 13185642 15383249 16288146 19778463 26371284 30766498 32576292 39556926 46149747 61532996 79113852 92299494 138449241 184598988 276898482 553796964