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55875435 = 3572116911
BaseRepresentation
bin1101010100100…
…1011101101011
310220010202200120
43111021131223
5103301003220
65313334323
71245635100
oct325113553
9126122616
1055875435
11295a4050
12168673a3
13b7647b5
1475c6aa7
154d8aa40
hex354976b

55875435 has 48 divisors (see below), whose sum is σ = 113467392. Its totient is φ = 23217600.

The previous prime is 55875427. The next prime is 55875461. The reversal of 55875435 is 53457855.

It is not a de Polignac number, because 55875435 - 23 = 55875427 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4630 + ... + 11540.

It is an arithmetic number, because the mean of its divisors is an integer number (2363904).

Almost surely, 255875435 is an apocalyptic number.

55875435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55875435 is an abundant number, since it is smaller than the sum of its proper divisors (57591957).

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

55875435 is a wasteful number, since it uses less digits than its factorization.

55875435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944 (or 6937 counting only the distinct ones).

The product of its digits is 420000, while the sum is 42.

The square root of 55875435 is about 7474.9872909591. The cubic root of 55875435 is about 382.3023542101.

The spelling of 55875435 in words is "fifty-five million, eight hundred seventy-five thousand, four hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 6911 8085 20733 34555 48377 76021 103665 145131 228063 241885 338639 380105 532147 725655 1015917 1140315 1596441 1693195 2660735 3725029 5079585 7982205 11175087 18625145 55875435