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40113936 = 2432475927
BaseRepresentation
bin1001100100000…
…1011100010000
32210110222222100
42121001130100
540232121221
63551440400
7664651152
oct231013420
983428870
1040113936
1120709215
1211526100
138406675
145482ad2
1537c5926
hex2641710

40113936 has 60 divisors (see below), whose sum is σ = 114671232. Its totient is φ = 13084608.

The previous prime is 40113919. The next prime is 40113937. The reversal of 40113936 is 63931104.

It is a super-2 number, since 2×401139362 = 3218255722824192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40113937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3805 + ... + 9731.

Almost surely, 240113936 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 40113936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57335616).

40113936 is an abundant number, since it is smaller than the sum of its proper divisors (74557296).

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

40113936 is a wasteful number, since it uses less digits than its factorization.

40113936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988 (or 5979 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 40113936 is about 6333.5563469507. The cubic root of 40113936 is about 342.3195945505.

The spelling of 40113936 in words is "forty million, one hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 5927 6768 11854 17781 23708 35562 47416 53343 71124 94832 106686 142248 213372 278569 284496 426744 557138 835707 853488 1114276 1671414 2228552 2507121 3342828 4457104 5014242 6685656 10028484 13371312 20056968 40113936