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42237312 = 273138461
BaseRepresentation
bin1010000100011…
…1110110000000
32221110212200220
42201013312000
541303043222
64105143040
71022003565
oct241076600
987425626
1042237312
1121929577
121218aa80
13899acc0
14587686c
153a94b5c
hex2847d80

42237312 has 64 divisors (see below), whose sum is σ = 120837360. Its totient is φ = 12994560.

The previous prime is 42237301. The next prime is 42237317. The reversal of 42237312 is 21373224.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42237317) 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, 762 + ... + 9222.

Almost surely, 242237312 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 42237312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60418680).

42237312 is an abundant number, since it is smaller than the sum of its proper divisors (78600048).

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

42237312 is a wasteful number, since it uses less digits than its factorization.

42237312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8491 (or 8479 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 42237312 is about 6499.0239267139. The cubic root of 42237312 is about 348.2561200825.

The spelling of 42237312 in words is "forty-two million, two hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 8461 16922 25383 33844 50766 67688 101532 109993 135376 203064 219986 270752 329979 406128 439972 541504 659958 812256 879944 1083008 1319916 1624512 1759888 2639832 3249024 3519776 5279664 7039552 10559328 14079104 21118656 42237312