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54839904 = 2537791033
BaseRepresentation
bin1101000100110…
…0101001100000
310211012011012120
43101030221200
5103014334104
65235224240
71234063050
oct321145140
9124164176
1054839904
1128a57039
1216448080
13b491362
1473d7560
154c33cd9
hex344ca60

54839904 has 96 divisors (see below), whose sum is σ = 166763520. Its totient is φ = 15455232.

The previous prime is 54839893. The next prime is 54839927. The reversal of 54839904 is 40993845.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52572 + ... + 53604.

It is an arithmetic number, because the mean of its divisors is an integer number (1737120).

Almost surely, 254839904 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 54839904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83381760).

54839904 is an abundant number, since it is smaller than the sum of its proper divisors (111923616).

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

54839904 is a wasteful number, since it uses less digits than its factorization.

54839904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1124 counting only the distinct ones).

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

The square root of 54839904 is about 7405.3969508731. The cubic root of 54839904 is about 379.9258950601.

The spelling of 54839904 in words is "fifty-four million, eight hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 474 553 632 672 948 1033 1106 1264 1659 1896 2066 2212 2528 3099 3318 3792 4132 4424 6198 6636 7231 7584 8264 8848 12396 13272 14462 16528 17696 21693 24792 26544 28924 33056 43386 49584 53088 57848 81607 86772 99168 115696 163214 173544 231392 244821 326428 347088 489642 571249 652856 694176 979284 1142498 1305712 1713747 1958568 2284996 2611424 3427494 3917136 4569992 6854988 7834272 9139984 13709976 18279968 27419952 54839904