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55412736 = 211329311
BaseRepresentation
bin1101001101100…
…0100000000000
310212021020222120
43103120200000
5103141201421
65255404240
71242000111
oct323304000
9125236876
1055412736
1129308455
1216683680
13b632002
147506208
154ce88c6
hex34d8800

55412736 has 96 divisors (see below), whose sum is σ = 153316800. Its totient is φ = 17776640.

The previous prime is 55412723. The next prime is 55412737. The reversal of 55412736 is 63721455.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×554127362 = 6141142622011392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55412697 and 55412706.

It is not an unprimeable number, because it can be changed into a prime (55412737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178021 + ... + 178331.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 255412736 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 55412736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76658400).

55412736 is an abundant number, since it is smaller than the sum of its proper divisors (97904064).

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

55412736 is a wasteful number, since it uses less digits than its factorization.

55412736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 345 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 55412736 is about 7443.9731326759. The cubic root of 55412736 is about 381.2441584342.

The spelling of 55412736 in words is "fifty-five million, four hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 311 348 384 464 512 622 696 768 928 933 1024 1244 1392 1536 1856 1866 2048 2488 2784 3072 3712 3732 4976 5568 6144 7424 7464 9019 9952 11136 14848 14928 18038 19904 22272 27057 29696 29856 36076 39808 44544 54114 59392 59712 72152 79616 89088 108228 119424 144304 159232 178176 216456 238848 288608 318464 432912 477696 577216 636928 865824 955392 1154432 1731648 1910784 2308864 3463296 4617728 6926592 9235456 13853184 18470912 27706368 55412736