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42253056 = 28336113
BaseRepresentation
bin1010000100101…
…1101100000000
32221111200022000
42201023230000
541304044211
64105344000
71022100516
oct241135400
987450260
1042253056
112193a38a
1212198000
1389a5211
14587c4b6
153a99656
hex284bb00

42253056 has 72 divisors (see below), whose sum is σ = 124970160. Its totient is φ = 14082048.

The previous prime is 42253051. The next prime is 42253063. The reversal of 42253056 is 65035224.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42253051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3856 + ... + 9968.

Almost surely, 242253056 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 42253056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62485080).

42253056 is an abundant number, since it is smaller than the sum of its proper divisors (82717104).

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

42253056 is an equidigital number, since it uses as much as digits as its factorization.

42253056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 42253056 is about 6500.2350726724. The cubic root of 42253056 is about 348.2993856454.

The spelling of 42253056 in words is "forty-two million, two hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6113 6912 12226 18339 24452 36678 48904 55017 73356 97808 110034 146712 165051 195616 220068 293424 330102 391232 440136 586848 660204 782464 880272 1173696 1320408 1564928 1760544 2347392 2640816 3521088 4694784 5281632 7042176 10563264 14084352 21126528 42253056