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54976152 = 23371171419
BaseRepresentation
bin1101000110110…
…1111010011000
310211110002002210
43101231322120
5103033214102
65242155120
71235201220
oct321557230
9124402083
1054976152
112903a440
12164b2aa0
13b50b38a
147431080
154c5e36c
hex346de98

54976152 has 128 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 14044800.

The previous prime is 54976133. The next prime is 54976169. The reversal of 54976152 is 25167945.

It is a self number, because there is not a number n which added to its sum of digits gives 54976152.

It is a congruent number.

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, 130999 + ... + 131417.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 254976152 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 54976152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

54976152 is an abundant number, since it is smaller than the sum of its proper divisors (119206248).

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

54976152 is a wasteful number, since it uses less digits than its factorization.

54976152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 513 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 54976152 is about 7414.5904809369. The cubic root of 54976152 is about 380.2402727903.

The spelling of 54976152 in words is "fifty-four million, nine hundred seventy-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 71 77 84 88 132 142 154 168 213 231 264 284 308 419 426 462 497 568 616 781 838 852 924 994 1257 1491 1562 1676 1704 1848 1988 2343 2514 2933 2982 3124 3352 3976 4609 4686 5028 5467 5866 5964 6248 8799 9218 9372 10056 10934 11732 11928 13827 16401 17598 18436 18744 21868 23464 27654 29749 32263 32802 35196 36872 43736 55308 59498 64526 65604 70392 89247 96789 110616 118996 129052 131208 178494 193578 208243 237992 258104 327239 356988 387156 416486 624729 654478 713976 774312 832972 981717 1249458 1308956 1665944 1963434 2290673 2498916 2617912 3926868 4581346 4997832 6872019 7853736 9162692 13744038 18325384 27488076 54976152