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56447040 = 2635134523
BaseRepresentation
bin1101011101010…
…1000001000000
310221012210210010
43113111001000
5103422301130
65333504520
71253535426
oct327250100
9127183703
1056447040
1129954551
1216aa2140
13b904a20
1476d5116
154e500b0
hex35d5040

56447040 has 112 divisors (see below), whose sum is σ = 193048128. Its totient is φ = 13891584.

The previous prime is 56447033. The next prime is 56447051. The reversal of 56447040 is 4074465.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 56446989 and 56447007.

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, 10219 + ... + 14741.

It is an arithmetic number, because the mean of its divisors is an integer number (1723644).

Almost surely, 256447040 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 56447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96524064).

56447040 is an abundant number, since it is smaller than the sum of its proper divisors (136601088).

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

56447040 is a wasteful number, since it uses less digits than its factorization.

56447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 56447040 is about 7513.1245164712. The cubic root of 56447040 is about 383.6015832961.

The spelling of 56447040 in words is "fifty-six million, four hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 4523 6240 9046 12480 13569 18092 22615 27138 36184 45230 54276 58799 67845 72368 90460 108552 117598 135690 144736 176397 180920 217104 235196 271380 289472 293995 352794 361840 434208 470392 542760 587990 705588 723680 868416 881985 940784 1085520 1175980 1411176 1447360 1763970 1881568 2171040 2351960 2822352 3527940 3763136 4342080 4703920 5644704 7055880 9407840 11289408 14111760 18815680 28223520 56447040