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55905990 = 2357535023
BaseRepresentation
bin1101010101000…
…0111011000110
310220012022121020
43111100323012
5103302442430
65314132010
71246123140
oct325207306
9126168536
1055905990
1129614aa8
1216881006
13b77568a
1475d3c90
154d94b10
hex3550ec6

55905990 has 64 divisors (see below), whose sum is σ = 156266496. Its totient is φ = 12534912.

The previous prime is 55905947. The next prime is 55906021. The reversal of 55905990 is 9950955.

55905990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 8619 + ... + 13641.

It is an arithmetic number, because the mean of its divisors is an integer number (2441664).

Almost surely, 255905990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55905990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78133248).

55905990 is an abundant number, since it is smaller than the sum of its proper divisors (100360506).

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

55905990 is a wasteful number, since it uses less digits than its factorization.

55905990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093.

The product of its (nonzero) digits is 91125, while the sum is 42.

The square root of 55905990 is about 7477.0308278086. The cubic root of 55905990 is about 382.3720277605.

The spelling of 55905990 in words is "fifty-five million, nine hundred five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 530 742 795 1113 1590 1855 2226 3710 5023 5565 10046 11130 15069 25115 30138 35161 50230 70322 75345 105483 150690 175805 210966 266219 351610 527415 532438 798657 1054830 1331095 1597314 1863533 2662190 3727066 3993285 5590599 7986570 9317665 11181198 18635330 27952995 55905990