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54768576 = 2631092617
BaseRepresentation
bin1101000011101…
…1001111000000
310211001112100210
43100323033000
5103010043301
65233514120
71233345102
oct320731700
9124045323
1054768576
1128a08495
1216412940
13b467a55
1473b9572
154c1cad6
hex343b3c0

54768576 has 56 divisors (see below), whose sum is σ = 146293840. Its totient is φ = 18081792.

The previous prime is 54768551. The next prime is 54768601. The reversal of 54768576 is 67586745.

It is an interprime number because it is at equal distance from previous prime (54768551) and next prime (54768601).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 19620 + ... + 22236.

It is an arithmetic number, because the mean of its divisors is an integer number (2612390).

Almost surely, 254768576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54768576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73146920).

54768576 is an abundant number, since it is smaller than the sum of its proper divisors (91525264).

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

54768576 is a wasteful number, since it uses less digits than its factorization.

54768576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2731 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The square root of 54768576 is about 7400.5794367739. The cubic root of 54768576 is about 379.7611056169.

The spelling of 54768576 in words is "fifty-four million, seven hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 327 436 654 872 1308 1744 2616 2617 3488 5232 5234 6976 7851 10464 10468 15702 20928 20936 31404 41872 62808 83744 125616 167488 251232 285253 502464 570506 855759 1141012 1711518 2282024 3423036 4564048 6846072 9128096 13692144 18256192 27384288 54768576