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56423640 = 23357135167
BaseRepresentation
bin1101011100111…
…1010011011000
310221011121200110
43113033103120
5103421024030
65333204320
71253410260
oct327172330
9127147613
1056423640
1129938a09
1216a906a0
13b8c7190
1476ca7a0
154e481b0
hex35cf4d8

56423640 has 128 divisors (see below), whose sum is σ = 208373760. Its totient is φ = 11902464.

The previous prime is 56423569. The next prime is 56423651. The reversal of 56423640 is 4632465.

56423640 = T181 + T182 + ... + T700.

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 = 56423598 and 56423607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8337 + ... + 13503.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 256423640 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 56423640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186880).

56423640 is an abundant number, since it is smaller than the sum of its proper divisors (151950120).

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

56423640 is a wasteful number, since it uses less digits than its factorization.

56423640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 56423640 is about 7511.5670801771. The cubic root of 56423640 is about 383.5485688971.

The spelling of 56423640 in words is "fifty-six million, four hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5167 5460 10334 10920 15501 20668 25835 31002 36169 41336 51670 62004 67171 72338 77505 103340 108507 124008 134342 144676 155010 180845 201513 206680 217014 268684 289352 310020 335855 361690 403026 434028 470197 537368 542535 620040 671710 723380 806052 868056 940394 1007565 1085070 1343420 1410591 1446760 1612104 1880788 2015130 2170140 2350985 2686840 2821182 3761576 4030260 4340280 4701970 5642364 7052955 8060520 9403940 11284728 14105910 18807880 28211820 56423640