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55379506 = 27213172557
BaseRepresentation
bin1101001101000…
…0011000110010
310212012120101211
43103100120302
5103134121011
65254550334
71241501200
oct323203062
9125176354
1055379506
1129295496
12166683aa
13b61cb50
1474d8070
154cddb21
hex34d0632

55379506 has 48 divisors (see below), whose sum is σ = 110229336. Its totient is φ = 20611584.

The previous prime is 55379501. The next prime is 55379507. The reversal of 55379506 is 60597355.

It can be written as a sum of positive squares in 4 ways, for example, as 43758225 + 11621281 = 6615^2 + 3409^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (55379501) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20380 + ... + 22936.

Almost surely, 255379506 is an apocalyptic number.

55379506 is a deficient number, since it is larger than the sum of its proper divisors (54849830).

55379506 is a wasteful number, since it uses less digits than its factorization.

55379506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 40.

The square root of 55379506 is about 7441.7407909709. The cubic root of 55379506 is about 381.1679348224.

The spelling of 55379506 in words is "fifty-five million, three hundred seventy-nine thousand, five hundred six".

Divisors: 1 2 7 13 14 17 26 34 49 91 98 119 182 221 238 442 637 833 1274 1547 1666 2557 3094 5114 10829 17899 21658 33241 35798 43469 66482 86938 125293 232687 250586 304283 465374 565097 608566 1130194 1628809 2129981 3257618 3955679 4259962 7911358 27689753 55379506