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55340496 = 243442701
BaseRepresentation
bin1101001100011…
…0110111010000
310212010120220000
43103012313100
5103131343441
65254050000
71241246361
oct323066720
9125116800
1055340496
1129269152
1216649900
13b608173
1474c7b68
154cd22b6
hex34c6dd0

55340496 has 50 divisors (see below), whose sum is σ = 160175202. Its totient is φ = 18446400.

The previous prime is 55340489. The next prime is 55340501. The reversal of 55340496 is 69404355.

It is a happy number.

55340496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 54464400 + 876096 = 7380^2 + 936^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 55340496.

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 9 ways as a sum of consecutive naturals, for example, 20055 + ... + 22646.

Almost surely, 255340496 is an apocalyptic number.

It is an amenable number.

55340496 is an abundant number, since it is smaller than the sum of its proper divisors (104834706).

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

55340496 is a wasteful number, since it uses less digits than its factorization.

55340496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42721 (or 42706 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 55340496 is about 7439.1193027132. The cubic root of 55340496 is about 381.0784140173.

Subtracting from 55340496 its sum of digits (36), we obtain a triangular number (55340460 = T10520).

The spelling of 55340496 in words is "fifty-five million, three hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 42701 85402 128103 170804 256206 341608 384309 512412 683216 768618 1024824 1152927 1537236 2049648 2305854 3074472 3458781 4611708 6148944 6917562 9223416 13835124 18446832 27670248 55340496