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54139904 = 210721383
BaseRepresentation
bin1100111010000…
…1110000000000
310202212120222122
43032201300000
5102324434104
65212223412
71225116200
oct316416000
9122776878
1054139904
1128619125
121616ab68
13b2a7860
147294400
154b466be
hex33a1c00

54139904 has 132 divisors (see below), whose sum is σ = 137214504. Its totient is φ = 21159936.

The previous prime is 54139903. The next prime is 54139909. The reversal of 54139904 is 40993145.

It is a super-2 number, since 2×541399042 = 5862258410258432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54139903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652247 + ... + 652329.

Almost surely, 254139904 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 54139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68607252).

54139904 is an abundant number, since it is smaller than the sum of its proper divisors (83074600).

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

54139904 is a wasteful number, since it uses less digits than its factorization.

54139904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 54139904 is about 7357.9823321343. The cubic root of 54139904 is about 378.3024556858.

The spelling of 54139904 in words is "fifty-four million, one hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 83 91 98 104 112 128 166 182 196 208 224 256 332 364 392 416 448 512 581 637 664 728 784 832 896 1024 1079 1162 1274 1328 1456 1568 1664 1792 2158 2324 2548 2656 2912 3136 3328 3584 4067 4316 4648 5096 5312 5824 6272 6656 7168 7553 8134 8632 9296 10192 10624 11648 12544 13312 15106 16268 17264 18592 20384 21248 23296 25088 30212 32536 34528 37184 40768 42496 46592 50176 52871 60424 65072 69056 74368 81536 84992 93184 105742 120848 130144 138112 148736 163072 211484 241696 260288 276224 297472 326144 422968 483392 520576 552448 594944 652288 845936 966784 1041152 1104896 1691872 1933568 2082304 3383744 3867136 4164608 6767488 7734272 13534976 27069952 54139904