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55762992 = 2434172531
BaseRepresentation
bin1101010010111…
…0000000110000
310212221001110000
43110232000300
5103233403432
65311110000
71244656215
oct324560060
9125831400
1055762992
112952761a
1216812300
13b72556c
147597b0c
154d6757c
hex352e030

55762992 has 100 divisors (see below), whose sum is σ = 170955576. Its totient is φ = 17487360.

The previous prime is 55762991. The next prime is 55762999. The reversal of 55762992 is 29926755.

55762992 is a `hidden beast` number, since 557 + 6 + 2 + 9 + 92 = 666.

It is a super-2 number, since 2×557629922 = 6219022553584128, which contains 22 as substring.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (55762991) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20767 + ... + 23297.

Almost surely, 255762992 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 55762992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85477788).

55762992 is an abundant number, since it is smaller than the sum of its proper divisors (115192584).

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

55762992 is a wasteful number, since it uses less digits than its factorization.

55762992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2553 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 55762992 is about 7467.4622195228. The cubic root of 55762992 is about 382.0457352293.

The spelling of 55762992 in words is "fifty-five million, seven hundred sixty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2531 2754 3672 5062 5508 7344 7593 10124 11016 15186 20248 22032 22779 30372 40496 43027 45558 60744 68337 86054 91116 121488 129081 136674 172108 182232 205011 258162 273348 344216 364464 387243 410022 516324 546696 688432 774486 820044 1032648 1093392 1161729 1548972 1640088 2065296 2323458 3097944 3280176 3485187 4646916 6195888 6970374 9293832 13940748 18587664 27881496 55762992