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55362464 = 254142197
BaseRepresentation
bin1101001100110…
…0001110100000
310212011201000122
43103030032200
5103133044324
65254335412
71241400413
oct323141640
9125151018
1055362464
1129283703
121665a568
13b615171
1474d1b7a
154cd8a5e
hex34cc3a0

55362464 has 24 divisors (see below), whose sum is σ = 111655908. Its totient is φ = 27005440.

The previous prime is 55362451. The next prime is 55362481. The reversal of 55362464 is 46426355.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41731600 + 13630864 = 6460^2 + 3692^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 19787 + ... + 22410.

Almost surely, 255362464 is an apocalyptic number.

It is an amenable number.

55362464 is an abundant number, since it is smaller than the sum of its proper divisors (56293444).

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

55362464 is a wasteful number, since it uses less digits than its factorization.

55362464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42248 (or 42240 counting only the distinct ones).

The product of its digits is 86400, while the sum is 35.

The square root of 55362464 is about 7440.5956750787. The cubic root of 55362464 is about 381.1288317266.

It can be divided in two parts, 5536 and 2464, that added together give a cube (8000 = 203).

The spelling of 55362464 in words is "fifty-five million, three hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 42197 84394 168788 337576 675152 1350304 1730077 3460154 6920308 13840616 27681232 55362464