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42227136 = 263373491
BaseRepresentation
bin1010000100010…
…1010111000000
32221110100202000
42201011113000
541302232021
64105024000
71021632120
oct241052700
987410660
1042227136
1121921966
1212185000
138996493
145872c80
153a91b26
hex28455c0

42227136 has 112 divisors (see below), whose sum is σ = 141914880. Its totient is φ = 12061440.

The previous prime is 42227123. The next prime is 42227137. The reversal of 42227136 is 63172224.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42227137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10351 + ... + 13841.

Almost surely, 242227136 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 42227136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70957440).

42227136 is an abundant number, since it is smaller than the sum of its proper divisors (99687744).

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

42227136 is a wasteful number, since it uses less digits than its factorization.

42227136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3503 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 42227136 is about 6498.2409927610. The cubic root of 42227136 is about 348.2281500346.

The spelling of 42227136 in words is "forty-two million, two hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 3491 4032 6048 6982 10473 12096 13964 20946 24437 27928 31419 41892 48874 55856 62838 73311 83784 94257 97748 111712 125676 146622 167568 188514 195496 219933 223424 251352 293244 335136 377028 390992 439866 502704 586488 659799 670272 754056 781984 879732 1005408 1172976 1319598 1508112 1563968 1759464 2010816 2345952 2639196 3016224 3518928 4691904 5278392 6032448 7037856 10556784 14075712 21113568 42227136