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55874592 = 25321910211
BaseRepresentation
bin1101010100100…
…1010000100000
310220010201112100
43111021100200
5103300441332
65313330400
71245632454
oct325112040
9126121470
1055874592
11295a3454
1216866a00
13b7642b7
1475c6664
154d8a67c
hex3549420

55874592 has 72 divisors (see below), whose sum is σ = 167272560. Its totient is φ = 17642880.

The previous prime is 55874591. The next prime is 55874629. The reversal of 55874592 is 29547855.

55874592 is a `hidden beast` number, since 5 + 58 + 7 + 4 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (55874591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367 + ... + 10577.

It is an arithmetic number, because the mean of its divisors is an integer number (2323230).

Almost surely, 255874592 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 55874592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83636280).

55874592 is an abundant number, since it is smaller than the sum of its proper divisors (111397968).

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

55874592 is a wasteful number, since it uses less digits than its factorization.

55874592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10246 (or 10235 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 55874592 is about 7474.9309026907. The cubic root of 55874592 is about 382.3004315852.

The spelling of 55874592 in words is "fifty-five million, eight hundred seventy-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 10211 20422 30633 40844 61266 81688 91899 122532 163376 183798 194009 245064 326752 367596 388018 490128 582027 735192 776036 980256 1164054 1470384 1552072 1746081 2328108 2940768 3104144 3492162 4656216 6208288 6984324 9312432 13968648 18624864 27937296 55874592