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55420192 = 254153797
BaseRepresentation
bin1101001101101…
…0010100100000
310212021122012201
43103122110200
5103141421232
65255502544
71242030622
oct323322440
9125248181
1055420192
1129313013
1216687a54
13b635519
147508c12
154ceabe7
hex34da520

55420192 has 48 divisors (see below), whose sum is σ = 114021432. Its totient is φ = 26490880.

The previous prime is 55420181. The next prime is 55420193. The reversal of 55420192 is 29102455.

It can be written as a sum of positive squares in 4 ways, for example, as 39388176 + 16032016 = 6276^2 + 4004^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55420192.

It is not an unprimeable number, because it can be changed into a prime (55420193) 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 7 ways as a sum of consecutive naturals, for example, 69138 + ... + 69934.

Almost surely, 255420192 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 55420192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57010716).

55420192 is an abundant number, since it is smaller than the sum of its proper divisors (58601240).

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

55420192 is a wasteful number, since it uses less digits than its factorization.

55420192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 55420192 is about 7444.4739236564. The cubic root of 55420192 is about 381.2612569640.

The spelling of 55420192 in words is "fifty-five million, four hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 53 82 106 164 212 328 424 656 797 848 1312 1594 1696 2173 3188 4346 6376 8692 12752 17384 25504 32677 34768 42241 65354 69536 84482 130708 168964 261416 337928 522832 675856 1045664 1351712 1731881 3463762 6927524 13855048 27710096 55420192