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54097152 = 28370439
BaseRepresentation
bin1100111001011…
…1010100000000
310202210102100020
43032113110000
5102322102102
65211253440
71224550434
oct316272400
9122712306
1054097152
1128599a9a
121614a280
13b291265
1472829c4
154b38bbc
hex3397500

54097152 has 36 divisors (see below), whose sum is σ = 143979360. Its totient is φ = 18032128.

The previous prime is 54097129. The next prime is 54097171. The reversal of 54097152 is 25179045.

It is a super-2 number, since 2×540971522 = 5853003709022208, which contains 22 as substring.

It is a congruent number.

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, 34452 + ... + 35987.

Almost surely, 254097152 is an apocalyptic number.

It is an amenable number.

54097152 is an abundant number, since it is smaller than the sum of its proper divisors (89882208).

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

54097152 is an equidigital number, since it uses as much as digits as its factorization.

54097152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70458 (or 70444 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 54097152 is about 7355.0766141489. The cubic root of 54097152 is about 378.2028529631.

It can be divided in two parts, 5409 and 7152, that added together give a triangular number (12561 = T158).

The spelling of 54097152 in words is "fifty-four million, ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 70439 140878 211317 281756 422634 563512 845268 1127024 1690536 2254048 3381072 4508096 6762144 9016192 13524288 18032384 27048576 54097152