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54725088 = 25311291787
BaseRepresentation
bin1101000011000…
…0100111100000
310210222022201010
43100300213200
5103002200323
65232540520
71233104235
oct320604740
9123868633
1054725088
1128988850
12163b1740
13b451012
1473a778c
154c0ec93
hex34309e0

54725088 has 96 divisors (see below), whose sum is σ = 162207360. Its totient is φ = 16002560.

The previous prime is 54725081. The next prime is 54725089. The reversal of 54725088 is 88052745.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54725081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29731 + ... + 31517.

It is an arithmetic number, because the mean of its divisors is an integer number (1689660).

Almost surely, 254725088 is an apocalyptic number.

54725088 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54725088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81103680).

54725088 is an abundant number, since it is smaller than the sum of its proper divisors (107482272).

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

54725088 is a wasteful number, since it uses less digits than its factorization.

54725088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 54725088 is about 7397.6407049816. The cubic root of 54725088 is about 379.6605648491.

The spelling of 54725088 in words is "fifty-four million, seven hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 696 928 957 1056 1276 1392 1787 1914 2552 2784 3574 3828 5104 5361 7148 7656 10208 10722 14296 15312 19657 21444 28592 30624 39314 42888 51823 57184 58971 78628 85776 103646 117942 155469 157256 171552 207292 235884 310938 314512 414584 471768 570053 621876 629024 829168 943536 1140106 1243752 1658336 1710159 1887072 2280212 2487504 3420318 4560424 4975008 6840636 9120848 13681272 18241696 27362544 54725088