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54743936 = 2713167197
BaseRepresentation
bin1101000011010…
…1001110000000
310211000021120012
43100311032000
5103003301221
65233204052
71233213212
oct320651600
9124007505
1054743936
11289a0a25
1216400628
13b459780
1473b05b2
154c1565b
hex3435380

54743936 has 64 divisors (see below), whose sum is σ = 118752480. Its totient is φ = 24987648.

The previous prime is 54743929. The next prime is 54743939. The reversal of 54743936 is 63934745.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 54743893 and 54743902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54743939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277790 + ... + 277986.

Almost surely, 254743936 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 54743936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59376240).

54743936 is an abundant number, since it is smaller than the sum of its proper divisors (64008544).

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

54743936 is a wasteful number, since it uses less digits than its factorization.

54743936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its digits is 272160, while the sum is 41.

The square root of 54743936 is about 7398.9145149812. The cubic root of 54743936 is about 379.7041464508.

The spelling of 54743936 in words is "fifty-four million, seven hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 167 197 208 334 394 416 668 788 832 1336 1576 1664 2171 2561 2672 3152 4342 5122 5344 6304 8684 10244 10688 12608 17368 20488 21376 25216 32899 34736 40976 65798 69472 81952 131596 138944 163904 263192 277888 327808 427687 526384 855374 1052768 1710748 2105536 3421496 4211072 6842992 13685984 27371968 54743936