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55379826 = 23231611627
BaseRepresentation
bin1101001101000…
…0011101110010
310212012120211200
43103100131302
5103134123301
65254552030
71241502135
oct323203562
9125176750
1055379826
1129295757
1216668616
13b620038
1474d821c
154cddc86
hex34d0772

55379826 has 48 divisors (see below), whose sum is σ = 125968128. Its totient is φ = 17560800.

The previous prime is 55379809. The next prime is 55379839. The reversal of 55379826 is 62897355.

It is a happy number.

55379826 is a `hidden beast` number, since 5 + 537 + 98 + 26 = 666.

55379826 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33225 + ... + 34851.

It is an arithmetic number, because the mean of its divisors is an integer number (2624336).

Almost surely, 255379826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55379826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62984064).

55379826 is an abundant number, since it is smaller than the sum of its proper divisors (70588302).

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

55379826 is a wasteful number, since it uses less digits than its factorization.

55379826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1724 counting only the distinct ones).

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

The square root of 55379826 is about 7441.7622912856. The cubic root of 55379826 is about 381.1686689899.

The spelling of 55379826 in words is "fifty-five million, three hundred seventy-nine thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 61 62 93 122 183 186 279 366 549 558 1098 1627 1891 3254 3782 4881 5673 9762 11346 14643 17019 29286 34038 50437 99247 100874 151311 198494 297741 302622 453933 595482 893223 907866 1786446 3076657 6153314 9229971 18459942 27689913 55379826