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40713936 = 2437691103
BaseRepresentation
bin1001101101001…
…1111011010000
32211121111000120
42123103323100
540410321221
64012350240
71003030344
oct233237320
984544016
1040713936
1120a88a8a
1211775380
1385867b3
14559b624
1538935c6
hex26d3ed0

40713936 has 40 divisors (see below), whose sum is σ = 105409920. Its totient is φ = 13541376.

The previous prime is 40713923. The next prime is 40713947. The reversal of 40713936 is 63931704.

It is a super-4 number, since 4×407139364 (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 40713897 and 40713906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36361 + ... + 37463.

It is an arithmetic number, because the mean of its divisors is an integer number (2635248).

Almost surely, 240713936 is an apocalyptic number.

It is an amenable number.

40713936 is an abundant number, since it is smaller than the sum of its proper divisors (64695984).

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

40713936 is a wasteful number, since it uses less digits than its factorization.

40713936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 40713936 is about 6380.7472916579. The cubic root of 40713936 is about 344.0178916240.

The spelling of 40713936 in words is "forty million, seven hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 769 1103 1538 2206 2307 3076 3309 4412 4614 6152 6618 8824 9228 12304 13236 17648 18456 26472 36912 52944 848207 1696414 2544621 3392828 5089242 6785656 10178484 13571312 20356968 40713936