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54990348 = 22372412281
BaseRepresentation
bin1101000111000…
…1011000001100
310211110210120120
43101301120030
5103034142343
65242344540
71235260500
oct321613014
9124423516
1054990348
112904a076
12164bb150
13b51498a
147436300
154c63683
hex347160c

54990348 has 72 divisors (see below), whose sum is σ = 152967024. Its totient is φ = 15321600.

The previous prime is 54990347. The next prime is 54990371. The reversal of 54990348 is 84309945.

It is a super-2 number, since 2×549903482 = 6047876746322208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (54990343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22968 + ... + 25248.

It is an arithmetic number, because the mean of its divisors is an integer number (2124542).

Almost surely, 254990348 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 54990348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76483512).

54990348 is an abundant number, since it is smaller than the sum of its proper divisors (97976676).

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

54990348 is a wasteful number, since it uses less digits than its factorization.

54990348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 54990348 is about 7415.5477208363. The cubic root of 54990348 is about 380.2729986552.

The spelling of 54990348 in words is "fifty-four million, nine hundred ninety thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 492 574 588 861 1148 1722 2009 2281 3444 4018 4562 6027 6843 8036 9124 12054 13686 15967 24108 27372 31934 47901 63868 93521 95802 111769 187042 191604 223538 280563 335307 374084 447076 561126 654647 670614 1122252 1309294 1341228 1963941 2618588 3927882 4582529 7855764 9165058 13747587 18330116 27495174 54990348