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55412928 = 2632175659
BaseRepresentation
bin1101001101100…
…0100011000000
310212021021020200
43103120203000
5103141203203
65255405200
71242000504
oct323304300
9125237220
1055412928
112930860a
1216683800
13b63211c
147506304
154ce89a3
hex34d88c0

55412928 has 84 divisors (see below), whose sum is σ = 168203880. Its totient is φ = 17381376.

The previous prime is 55412921. The next prime is 55412933. The reversal of 55412928 is 82921455.

55412928 is a `hidden beast` number, since 554 + 12 + 92 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55412892 and 55412901.

It is not an unprimeable number, because it can be changed into a prime (55412921) 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, 6963 + ... + 12621.

Almost surely, 255412928 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 55412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84101940).

55412928 is an abundant number, since it is smaller than the sum of its proper divisors (112790952).

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

55412928 is a wasteful number, since it uses less digits than its factorization.

55412928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5681 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 55412928 is about 7443.9860290035. The cubic root of 55412928 is about 381.2445987589.

The spelling of 55412928 in words is "fifty-five million, four hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 5659 9792 11318 16977 22636 33954 45272 50931 67908 90544 96203 101862 135816 181088 192406 203724 271632 288609 362176 384812 407448 543264 577218 769624 814896 865827 1086528 1154436 1539248 1629792 1731654 2308872 3078496 3259584 3463308 4617744 6156992 6926616 9235488 13853232 18470976 27706464 55412928