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40716936 = 233213411061
BaseRepresentation
bin1001101101010…
…0101010001000
32211121122010200
42123110222020
540410420221
64012412200
71003042161
oct233245210
984548120
1040716936
1120a90267
1211777060
138587c80
14559c768
153894426
hex26d4a88

40716936 has 96 divisors (see below), whose sum is σ = 121768920. Its totient is φ = 12211200.

The previous prime is 40716913. The next prime is 40716941. The reversal of 40716936 is 63961704.

It can be written as a sum of positive squares in 4 ways, for example, as 20196036 + 20520900 = 4494^2 + 4530^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40716936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37846 + ... + 38906.

Almost surely, 240716936 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 40716936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60884460).

40716936 is an abundant number, since it is smaller than the sum of its proper divisors (81051984).

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

40716936 is a wasteful number, since it uses less digits than its factorization.

40716936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 40716936 is about 6380.9823695102. The cubic root of 40716936 is about 344.0263410513.

The spelling of 40716936 in words is "forty million, seven hundred sixteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 41 52 72 78 82 104 117 123 156 164 234 246 312 328 369 468 492 533 738 936 984 1061 1066 1476 1599 2122 2132 2952 3183 3198 4244 4264 4797 6366 6396 8488 9549 9594 12732 12792 13793 19098 19188 25464 27586 38196 38376 41379 43501 55172 76392 82758 87002 110344 124137 130503 165516 174004 248274 261006 331032 348008 391509 496548 522012 565513 783018 993096 1044024 1131026 1566036 1696539 2262052 3132072 3393078 4524104 5089617 6786156 10179234 13572312 20358468 40716936