Search a number
-
+
41359136 = 2572132029
BaseRepresentation
bin1001110111000…
…1011100100000
32212211021001212
42131301130200
541041443021
64034245252
71011355400
oct235613440
985737055
1041359136
1121389805
1211a26828
138751380
1456c8800
15396e85b
hex2771720

41359136 has 72 divisors (see below), whose sum is σ = 102056220. Its totient is φ = 16353792.

The previous prime is 41359111. The next prime is 41359169. The reversal of 41359136 is 63195314.

It can be written as a sum of positive squares in 2 ways, for example, as 40398736 + 960400 = 6356^2 + 980^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19370 + ... + 21398.

Almost surely, 241359136 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 41359136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51028110).

41359136 is an abundant number, since it is smaller than the sum of its proper divisors (60697084).

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

41359136 is a wasteful number, since it uses less digits than its factorization.

41359136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2051 counting only the distinct ones).

The product of its digits is 9720, while the sum is 32.

The square root of 41359136 is about 6431.1069031699. The cubic root of 41359136 is about 345.8256107177.

The spelling of 41359136 in words is "forty-one million, three hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2029 2548 2912 4058 5096 8116 10192 14203 16232 20384 26377 28406 32464 52754 56812 64928 99421 105508 113624 184639 198842 211016 227248 369278 397684 422032 454496 738556 795368 844064 1292473 1477112 1590736 2584946 2954224 3181472 5169892 5908448 10339784 20679568 41359136