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54094656 = 2637113659
BaseRepresentation
bin1100111001011…
…0101101000000
310202210021220210
43032112231000
5102322012111
65211234120
71224540240
oct316265500
9122707823
1054094656
1128598130
1216148940
13b290095
147281b20
154b380a6
hex3396b40

54094656 has 112 divisors (see below), whose sum is σ = 178490880. Its totient is φ = 14046720.

The previous prime is 54094639. The next prime is 54094717. The reversal of 54094656 is 65649045.

It is a tau number, because it is divible by the number of its divisors (112).

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, 12955 + ... + 16613.

Almost surely, 254094656 is an apocalyptic number.

54094656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54094656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89245440).

54094656 is an abundant number, since it is smaller than the sum of its proper divisors (124396224).

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

54094656 is a wasteful number, since it uses less digits than its factorization.

54094656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 54094656 is about 7354.9069334697. The cubic root of 54094656 is about 378.1970362130.

The spelling of 54094656 in words is "fifty-four million, ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3659 3696 4928 7318 7392 10977 14636 14784 21954 25613 29272 40249 43908 51226 58544 76839 80498 87816 102452 117088 120747 153678 160996 175632 204904 234176 241494 281743 307356 321992 351264 409808 482988 563486 614712 643984 702528 819616 845229 965976 1126972 1229424 1287968 1639232 1690458 1931952 2253944 2458848 2575936 3380916 3863904 4507888 4917696 6761832 7727808 9015776 13523664 18031552 27047328 54094656