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56547040 = 2551119289
BaseRepresentation
bin1101011110110…
…1011011100000
310221101212221211
43113231123200
5103434001130
65335555504
71254433114
oct327553340
9127355854
1056547040
1129a126a0
1216b2bb94
13b93b3b4
14771d744
154e6ea2a
hex35ed6e0

56547040 has 144 divisors (see below), whose sum is σ = 155539440. Its totient is φ = 19261440.

The previous prime is 56547019. The next prime is 56547089. The reversal of 56547040 is 4074565.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 56546993 and 56547011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635316 + ... + 635404.

It is an arithmetic number, because the mean of its divisors is an integer number (1080135).

Almost surely, 256547040 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 56547040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77769720).

56547040 is an abundant number, since it is smaller than the sum of its proper divisors (98992400).

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

56547040 is a wasteful number, since it uses less digits than its factorization.

56547040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 56547040 is about 7519.7765924261. The cubic root of 56547040 is about 383.8279756100.

The spelling of 56547040 in words is "fifty-six million, five hundred forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 89 95 110 152 160 176 178 190 209 220 304 352 356 361 380 418 440 445 608 712 722 760 836 880 890 979 1045 1424 1444 1520 1672 1691 1760 1780 1805 1958 2090 2848 2888 3040 3344 3382 3560 3610 3916 3971 4180 4895 5776 6688 6764 7120 7220 7832 7942 8360 8455 9790 11552 13528 14240 14440 15664 15884 16720 16910 18601 19580 19855 27056 28880 31328 31768 32129 33440 33820 37202 39160 39710 54112 57760 63536 64258 67640 74404 78320 79420 93005 127072 128516 135280 148808 156640 158840 160645 186010 257032 270560 297616 317680 321290 353419 372020 514064 595232 635360 642580 706838 744040 1028128 1285160 1413676 1488080 1767095 2570320 2827352 2976160 3534190 5140640 5654704 7068380 11309408 14136760 28273520 56547040