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42224136 = 2332376493
BaseRepresentation
bin1010000100010…
…0101000001000
32221110012121220
42201010220020
541302133021
64105002040
71021620303
oct241045010
987405556
1042224136
112191a689
1212183320
138994cc6
145871b3a
153a90cc6
hex2844a08

42224136 has 32 divisors (see below), whose sum is σ = 110151360. Its totient is φ = 13462592.

The previous prime is 42224111. The next prime is 42224167. The reversal of 42224136 is 63142224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37695 + ... + 38798.

It is an arithmetic number, because the mean of its divisors is an integer number (3442230).

Almost surely, 242224136 is an apocalyptic number.

42224136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

42224136 is an abundant number, since it is smaller than the sum of its proper divisors (67927224).

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

42224136 is a wasteful number, since it uses less digits than its factorization.

42224136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76525 (or 76521 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 42224136 is about 6498.0101569634. The cubic root of 42224136 is about 348.2199032902.

The spelling of 42224136 in words is "forty-two million, two hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 76493 152986 229479 305972 458958 611944 917916 1759339 1835832 3518678 5278017 7037356 10556034 14074712 21112068 42224136