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42310944 = 2533133767
BaseRepresentation
bin1010000101100…
…1110100100000
32221121121201000
42201121310200
541312422234
64110512000
71022431344
oct241316440
987547630
1042310944
1121979925
1212205600
1389c5680
145895624
153aab899
hex2859d20

42310944 has 96 divisors (see below), whose sum is σ = 132935040. Its totient is φ = 13015296.

The previous prime is 42310927. The next prime is 42310949. The reversal of 42310944 is 44901324.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×423109442 = 3580431964342272, which contains 22 as substring.

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 (42310949) 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, 9349 + ... + 13115.

It is an arithmetic number, because the mean of its divisors is an integer number (1384740).

Almost surely, 242310944 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 42310944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66467520).

42310944 is an abundant number, since it is smaller than the sum of its proper divisors (90624096).

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

42310944 is a wasteful number, since it uses less digits than its factorization.

42310944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42310944 is about 6504.6863106533. The cubic root of 42310944 is about 348.4583733894.

The spelling of 42310944 in words is "forty-two million, three hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 3767 5616 7534 11232 11301 15068 22602 30136 33903 45204 48971 60272 67806 90408 97942 101709 120544 135612 146913 180816 195884 203418 271224 293826 361632 391768 406836 440739 542448 587652 783536 813672 881478 1084896 1175304 1322217 1567072 1627344 1762956 2350608 2644434 3254688 3525912 4701216 5288868 7051824 10577736 14103648 21155472 42310944