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553996512 = 253229113587
BaseRepresentation
bin100001000001010…
…101000011100000
31102121102221100100
4201001111003200
52113310342022
6130550022400
716504615116
oct4101250340
91377387310
10553996512
11264797863
12135647a00
138aa0c5b4
145380dab6
15339821ac
hex210550e0

553996512 has 144 divisors (see below), whose sum is σ = 1646976240. Its totient is φ = 176418816.

The previous prime is 553996481. The next prime is 553996517. The reversal of 553996512 is 215699355.

553996512 is a `hidden beast` number, since 553 + 9 + 96 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5539965122 = 613824270616332288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553996517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 943483 + ... + 944069.

It is an arithmetic number, because the mean of its divisors is an integer number (11437335).

Almost surely, 2553996512 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 553996512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823488120).

553996512 is an abundant number, since it is smaller than the sum of its proper divisors (1092979728).

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

553996512 is a wasteful number, since it uses less digits than its factorization.

553996512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 734 counting only the distinct ones).

The product of its digits is 364500, while the sum is 45.

The square root of 553996512 is about 23537.1304963031. The cubic root of 553996512 is about 821.3009845817.

The spelling of 553996512 in words is "five hundred fifty-three million, nine hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 113 116 144 174 226 232 261 288 339 348 452 464 522 587 678 696 904 928 1017 1044 1174 1356 1392 1761 1808 2034 2088 2348 2712 2784 3277 3522 3616 4068 4176 4696 5283 5424 6554 7044 8136 8352 9392 9831 10566 10848 13108 14088 16272 17023 18784 19662 21132 26216 28176 29493 32544 34046 39324 42264 51069 52432 56352 58986 66331 68092 78648 84528 102138 104864 117972 132662 136184 153207 157296 169056 198993 204276 235944 265324 272368 306414 314592 397986 408552 471888 530648 544736 596979 612828 795972 817104 943776 1061296 1193958 1225656 1591944 1634208 1923599 2122592 2387916 2451312 3183888 3847198 4775832 4902624 5770797 6367776 7694396 9551664 11541594 15388792 17312391 19103328 23083188 30777584 34624782 46166376 61555168 69249564 92332752 138499128 184665504 276998256 553996512