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54887360 = 2651131503
BaseRepresentation
bin1101000101100…
…0001111000000
310211021120022012
43101120033000
5103022343420
65240232052
71234351313
oct321301700
9124246265
1054887360
1128a89760
121646b628
13b4a9b38
14740a97a
154c42dc5
hex34583c0

54887360 has 112 divisors (see below), whose sum is σ = 147474432. Its totient is φ = 19276800.

The previous prime is 54887351. The next prime is 54887363. The reversal of 54887360 is 6378845.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54887363) 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, 108869 + ... + 109371.

It is an arithmetic number, because the mean of its divisors is an integer number (1316736).

Almost surely, 254887360 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 54887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73737216).

54887360 is an abundant number, since it is smaller than the sum of its proper divisors (92587072).

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

54887360 is a wasteful number, since it uses less digits than its factorization.

54887360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 54887360 is about 7408.6004076344. The cubic root of 54887360 is about 380.0354537558.

The spelling of 54887360 in words is "fifty-four million, eight hundred eighty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 155 160 176 220 248 310 320 341 352 440 496 503 620 682 704 880 992 1006 1240 1364 1705 1760 1984 2012 2480 2515 2728 3410 3520 4024 4960 5030 5456 5533 6820 8048 9920 10060 10912 11066 13640 15593 16096 20120 21824 22132 27280 27665 31186 32192 40240 44264 54560 55330 62372 77965 80480 88528 109120 110660 124744 155930 160960 171523 177056 221320 249488 311860 343046 354112 442640 498976 623720 686092 857615 885280 997952 1247440 1372184 1715230 1770560 2494880 2744368 3430460 4989760 5488736 6860920 10977472 13721840 27443680 54887360