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40936 = 2371743
BaseRepresentation
bin1001111111101000
32002011011
421333220
52302221
6513304
7230230
oct117750
962134
1040936
1128835
121b834
131582c
1410cc0
15c1e1
hex9fe8

40936 has 32 divisors (see below), whose sum is σ = 95040. Its totient is φ = 16128.

The previous prime is 40933. The next prime is 40939. The reversal of 40936 is 63904.

It is an interprime number because it is at equal distance from previous prime (40933) and next prime (40939).

It is not an unprimeable number, because it can be changed into a prime (40933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 931 + ... + 973.

It is an arithmetic number, because the mean of its divisors is an integer number (2970).

240936 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 40936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47520).

40936 is an abundant number, since it is smaller than the sum of its proper divisors (54104).

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

40936 is a wasteful number, since it uses less digits than its factorization.

40936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 40936 is about 202.3264688566. The cubic root of 40936 is about 34.4642211167.

The spelling of 40936 in words is "forty thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 17 28 34 43 56 68 86 119 136 172 238 301 344 476 602 731 952 1204 1462 2408 2924 5117 5848 10234 20468 40936