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55576976 = 2473131941
BaseRepresentation
bin1101010000000…
…0100110010000
310212120121021112
43110000212100
5103211430401
65303112452
71243253000
oct324004620
9125517245
1055576976
112940a894
1216742728
13b68b9b0
14754a000
154d2c3bb
hex3500990

55576976 has 160 divisors (see below), whose sum is σ = 145824000. Its totient is φ = 20321280.

The previous prime is 55576949. The next prime is 55576987. The reversal of 55576976 is 67967555.

It is a happy number.

It is a super-2 number, since 2×555769762 = 6177600522609152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1355516 + ... + 1355556.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 255576976 is an apocalyptic number.

55576976 is a gapful number since it is divisible by the number (56) 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 55576976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72912000).

55576976 is an abundant number, since it is smaller than the sum of its proper divisors (90247024).

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

55576976 is a wasteful number, since it uses less digits than its factorization.

55576976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its digits is 1984500, while the sum is 50.

The square root of 55576976 is about 7454.9967136143. The cubic root of 55576976 is about 381.6204484586.

The spelling of 55576976 in words is "fifty-five million, five hundred seventy-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 41 49 52 56 76 82 91 98 104 112 133 152 164 182 196 208 247 266 287 304 328 343 364 392 494 532 533 574 637 656 686 728 779 784 931 988 1064 1066 1148 1274 1372 1456 1558 1729 1862 1976 2009 2128 2132 2296 2548 2744 3116 3458 3724 3731 3952 4018 4264 4459 4592 5096 5453 5488 6232 6517 6916 7448 7462 8036 8528 8918 10127 10192 10906 12103 12464 13034 13832 14063 14896 14924 16072 17836 20254 21812 24206 26068 26117 27664 28126 29848 32144 35672 38171 40508 43624 48412 52136 52234 56252 59696 70889 71344 76342 81016 84721 87248 96824 104272 104468 112504 141778 152684 162032 169442 182819 193648 208936 225008 267197 283556 305368 338884 365638 417872 496223 534394 567112 610736 677768 731276 992446 1068788 1134224 1355536 1462552 1984892 2137576 2925104 3473561 3969784 4275152 6947122 7939568 13894244 27788488 55576976