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55805508 = 223211197417
BaseRepresentation
bin1101010011100…
…0011001000100
310220000012202200
43110320121010
5103241234013
65312034500
71245224163
oct324703104
9126005680
1055805508
1129556560
1216832a30
13b73ba15
1475a93da
154d74e73
hex3538644

55805508 has 72 divisors (see below), whose sum is σ = 162009120. Its totient is φ = 16018560.

The previous prime is 55805501. The next prime is 55805513. The reversal of 55805508 is 80550855.

It is a super-2 number, since 2×558055082 = 6228509446276128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55805501) 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, 3816 + ... + 11232.

Almost surely, 255805508 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 55805508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81004560).

55805508 is an abundant number, since it is smaller than the sum of its proper divisors (106203612).

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

55805508 is a wasteful number, since it uses less digits than its factorization.

55805508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7457 (or 7452 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 55805508 is about 7470.3084273676. The cubic root of 55805508 is about 382.1428063603.

The spelling of 55805508 in words is "fifty-five million, eight hundred five thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7417 7524 14834 22251 29668 44502 66753 81587 89004 133506 140923 163174 244761 267012 281846 326348 422769 489522 563692 734283 845538 979044 1268307 1468566 1550153 1691076 2536614 2937132 3100306 4650459 5073228 6200612 9300918 13951377 18601836 27902754 55805508