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54814368 = 253781569
BaseRepresentation
bin1101000100011…
…0011010100000
310211010212011210
43101012122200
5103013024433
65234510120
71233625440
oct321063240
9124125153
1054814368
1128a39934
1216435340
13b48284b
1473cc120
154c2b463
hex34466a0

54814368 has 48 divisors (see below), whose sum is σ = 164445120. Its totient is φ = 15661056.

The previous prime is 54814337. The next prime is 54814381. The reversal of 54814368 is 86341845.

54814368 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×548143683 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40113 + ... + 41456.

It is an arithmetic number, because the mean of its divisors is an integer number (3425940).

Almost surely, 254814368 is an apocalyptic number.

It is an amenable number.

54814368 is an abundant number, since it is smaller than the sum of its proper divisors (109630752).

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

54814368 is a wasteful number, since it uses less digits than its factorization.

54814368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81589 (or 81581 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 54814368 is about 7403.6726021617. The cubic root of 54814368 is about 379.8669155385.

The spelling of 54814368 in words is "fifty-four million, eight hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 81569 163138 244707 326276 489414 570983 652552 978828 1141966 1305104 1712949 1957656 2283932 2610208 3425898 3915312 4567864 6851796 7830624 9135728 13703592 18271456 27407184 54814368