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55813392 = 24323112503
BaseRepresentation
bin1101010011101…
…0010100010000
310220000121120200
43110322110100
5103242012032
65312135200
71245256155
oct324722420
9126017520
1055813392
1129561478
1216837500
13b74249b
1475ac22c
154d7747c
hex353a510

55813392 has 60 divisors (see below), whose sum is σ = 161251584. Its totient is φ = 18002880.

The previous prime is 55813379. The next prime is 55813409. The reversal of 55813392 is 29331855.

55813392 is a `hidden beast` number, since 558 + 13 + 3 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1788 + ... + 10715.

Almost surely, 255813392 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 55813392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80625792).

55813392 is an abundant number, since it is smaller than the sum of its proper divisors (105438192).

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

55813392 is a wasteful number, since it uses less digits than its factorization.

55813392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12548 (or 12539 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 55813392 is about 7470.8360977872. The cubic root of 55813392 is about 382.1608014300.

The spelling of 55813392 in words is "fifty-five million, eight hundred thirteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 12503 25006 37509 50012 75018 100024 112527 150036 200048 225054 300072 387593 450108 600144 775186 900216 1162779 1550372 1800432 2325558 3100744 3488337 4651116 6201488 6976674 9302232 13953348 18604464 27906696 55813392