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55972944 = 243443189
BaseRepresentation
bin1101010110000…
…1010001010000
310220022201110000
43111201101100
5103312113234
65315410000
71246522266
oct325412120
9126281400
1055972944
1129660335
12168b3900
13b799cb1
147610436
154da9899
hex3561450

55972944 has 50 divisors (see below), whose sum is σ = 162005690. Its totient is φ = 18657216.

The previous prime is 55972919. The next prime is 55972951. The reversal of 55972944 is 44927955.

55972944 is a `hidden beast` number, since 559 + 7 + 2 + 94 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32353344 + 23619600 = 5688^2 + 4860^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55972944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20299 + ... + 22890.

Almost surely, 255972944 is an apocalyptic number.

55972944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

55972944 is an abundant number, since it is smaller than the sum of its proper divisors (106032746).

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

55972944 is a wasteful number, since it uses less digits than its factorization.

55972944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43209 (or 43194 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 55972944 is about 7481.5068001038. The cubic root of 55972944 is about 382.5246120265.

The spelling of 55972944 in words is "fifty-five million, nine hundred seventy-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 43189 86378 129567 172756 259134 345512 388701 518268 691024 777402 1036536 1166103 1554804 2073072 2332206 3109608 3498309 4664412 6219216 6996618 9328824 13993236 18657648 27986472 55972944