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55351296 = 2113371113
BaseRepresentation
bin1101001100100…
…1100000000000
310212011010201000
43103021200000
5103132220141
65254212000
71241323020
oct323114000
9125133630
1055351296
1129276280
1216654000
13b610060
1474cba80
154cd55b6
hex34c9800

55351296 has 384 divisors, whose sum is σ = 220147200. Its totient is φ = 13271040.

The previous prime is 55351291. The next prime is 55351319. The reversal of 55351296 is 69215355.

55351296 is a `hidden beast` number, since 5 + 53 + 512 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (40500) is a multiple of the sum of its prime divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55351296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55351291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4257786 + ... + 4257798.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 255351296 is an apocalyptic number.

55351296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55351296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

55351296 is an abundant number, since it is smaller than the sum of its proper divisors (164795904).

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

55351296 is a wasteful number, since it uses less digits than its factorization.

55351296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 36 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 55351296 is about 7439.8451596791. The cubic root of 55351296 is about 381.1032022493.

The spelling of 55351296 in words is "fifty-five million, three hundred fifty-one thousand, two hundred ninety-six".