Search a number
-
+
40459056 = 243111937109
BaseRepresentation
bin1001101001010…
…1101100110000
32211010112101120
42122111230300
540324142211
64003102240
71000616301
oct232255460
984115346
1040459056
1120924540
1211671980
1384c7791
1455327a8
153842d06
hex2695b30

40459056 has 160 divisors (see below), whose sum is σ = 124396800. Its totient is φ = 11197440.

The previous prime is 40459051. The next prime is 40459063. The reversal of 40459056 is 65095404.

It is a super-2 number, since 2×404590562 = 3273870424822272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (40459051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371130 + ... + 371238.

It is an arithmetic number, because the mean of its divisors is an integer number (777480).

Almost surely, 240459056 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 40459056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62198400).

40459056 is an abundant number, since it is smaller than the sum of its proper divisors (83937744).

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

40459056 is a wasteful number, since it uses less digits than its factorization.

40459056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 40459056 is about 6360.7433527851. The cubic root of 40459056 is about 343.2985073755.

The spelling of 40459056 in words is "forty million, four hundred fifty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 37 38 44 48 57 66 74 76 88 109 111 114 132 148 152 176 209 218 222 228 264 296 304 327 407 418 436 444 456 528 592 627 654 703 814 836 872 888 912 1199 1221 1254 1308 1406 1628 1672 1744 1776 2071 2109 2398 2442 2508 2616 2812 3256 3344 3597 4033 4142 4218 4796 4884 5016 5232 5624 6213 6512 7194 7733 8066 8284 8436 9592 9768 10032 11248 12099 12426 14388 15466 16132 16568 16872 19184 19536 22781 23199 24198 24852 28776 30932 32264 33136 33744 44363 45562 46398 48396 49704 57552 61864 64528 68343 76627 88726 91124 92796 96792 99408 123728 133089 136686 153254 177452 182248 185592 193584 229881 266178 273372 306508 354904 364496 371184 459762 532356 546744 613016 709808 842897 919524 1064712 1093488 1226032 1685794 1839048 2129424 2528691 3371588 3678096 5057382 6743176 10114764 13486352 20229528 40459056