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54954048 = 2631931483
BaseRepresentation
bin1101000110100…
…0100001000000
310211101221210010
43101220201000
5103032012143
65241504520
71235046612
oct321504100
9124357703
1054954048
1129024876
12164a2140
13b5012b6
147426db2
154c57a33
hex3468840

54954048 has 56 divisors (see below), whose sum is σ = 146251168. Its totient is φ = 18210816.

The previous prime is 54954037. The next prime is 54954073. The reversal of 54954048 is 84045945.

It is a junction number, because it is equal to n+sod(n) for n = 54953997 and 54954015.

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, 36315 + ... + 37797.

It is an arithmetic number, because the mean of its divisors is an integer number (2611628).

Almost surely, 254954048 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 54954048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73125584).

54954048 is an abundant number, since it is smaller than the sum of its proper divisors (91297120).

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

54954048 is a wasteful number, since it uses less digits than its factorization.

54954048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 54954048 is about 7413.0997565121. The cubic root of 54954048 is about 380.1893054929.

The spelling of 54954048 in words is "fifty-four million, nine hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 193 386 579 772 1158 1483 1544 2316 2966 3088 4449 4632 5932 6176 8898 9264 11864 12352 17796 18528 23728 35592 37056 47456 71184 94912 142368 284736 286219 572438 858657 1144876 1717314 2289752 3434628 4579504 6869256 9159008 13738512 18318016 27477024 54954048