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56573000 = 23531137139
BaseRepresentation
bin1101011111001…
…1110001001000
310221110012120022
43113303301020
5103440314000
65340320012
71254601601
oct327636110
9127405508
1056573000
1129a30150
1216b43008
13b94a163
147728da8
154e77585
hex35f3c48

56573000 has 128 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 19872000.

The previous prime is 56572987. The next prime is 56573009. The reversal of 56573000 is 37565.

It is not an unprimeable number, because it can be changed into a prime (56573009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406931 + ... + 407069.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 256573000 is an apocalyptic number.

56573000 is a gapful number since it is divisible by the number (50) 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 56573000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

56573000 is an abundant number, since it is smaller than the sum of its proper divisors (92812600).

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

56573000 is a wasteful number, since it uses less digits than its factorization.

56573000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 56573000 is about 7521.5025094724. The cubic root of 56573000 is about 383.8867034104.

The spelling of 56573000 in words is "fifty-six million, five hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 37 40 44 50 55 74 88 100 110 125 139 148 185 200 220 250 275 278 296 370 407 440 500 550 556 695 740 814 925 1000 1100 1112 1375 1390 1480 1529 1628 1850 2035 2200 2750 2780 3058 3256 3475 3700 4070 4625 5143 5500 5560 6116 6950 7400 7645 8140 9250 10175 10286 11000 12232 13900 15290 16280 17375 18500 20350 20572 25715 27800 30580 34750 37000 38225 40700 41144 50875 51430 56573 61160 69500 76450 81400 101750 102860 113146 128575 139000 152900 191125 203500 205720 226292 257150 282865 305800 382250 407000 452584 514300 565730 642875 764500 1028600 1131460 1285750 1414325 1529000 2262920 2571500 2828650 5143000 5657300 7071625 11314600 14143250 28286500 56573000