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54900384 = 25372111061
BaseRepresentation
bin1101000101101…
…1011010100000
310211022020011120
43101123122200
5103023303014
65240412240
71234434300
oct321333240
9124266146
1054900384
1128a98520
1216477080
13b4b2a46
147411600
154c46ba9
hex345b6a0

54900384 has 144 divisors (see below), whose sum is σ = 183054816. Its totient is φ = 14246400.

The previous prime is 54900383. The next prime is 54900401. The reversal of 54900384 is 48300945.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (54900383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51214 + ... + 52274.

It is an arithmetic number, because the mean of its divisors is an integer number (1271214).

Almost surely, 254900384 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 54900384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91527408).

54900384 is an abundant number, since it is smaller than the sum of its proper divisors (128154432).

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

54900384 is a wasteful number, since it uses less digits than its factorization.

54900384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 54900384 is about 7409.4793339343. The cubic root of 54900384 is about 380.0655104046.

The spelling of 54900384 in words is "fifty-four million, nine hundred thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1061 1078 1176 1232 1568 1617 1848 2122 2156 2352 2464 3183 3234 3696 4244 4312 4704 6366 6468 7392 7427 8488 8624 11671 12732 12936 14854 16976 17248 22281 23342 25464 25872 29708 33952 35013 44562 46684 50928 51744 51989 59416 70026 81697 89124 93368 101856 103978 118832 140052 155967 163394 178248 186736 207956 237664 245091 280104 311934 326788 356496 373472 415912 490182 560208 571879 623868 653576 712992 831824 980364 1120416 1143758 1247736 1307152 1663648 1715637 1960728 2287516 2495472 2614304 3431274 3921456 4575032 4990944 6862548 7842912 9150064 13725096 18300128 27450192 54900384