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40936896 = 26327111371
BaseRepresentation
bin1001110000101…
…0010111000000
32212000210212100
42130022113000
540434440041
64021230400
71004646360
oct234122700
985023770
1040936896
1121120550
1211862400
138634120
1456189a0
1538d96b6
hex270a5c0

40936896 has 336 divisors, whose sum is σ = 159763968. Its totient is φ = 9676800.

The previous prime is 40936891. The next prime is 40936919. The reversal of 40936896 is 69863904.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×409368962 = 3351658908229632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40936891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576541 + ... + 576611.

It is an arithmetic number, because the mean of its divisors is an integer number (475488).

Almost surely, 240936896 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 40936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79881984).

40936896 is an abundant number, since it is smaller than the sum of its proper divisors (118827072).

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

40936896 is a wasteful number, since it uses less digits than its factorization.

40936896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 40936896 is about 6398.1947453950. The cubic root of 40936896 is about 344.6447256382.

The spelling of 40936896 in words is "forty million, nine hundred thirty-six thousand, eight hundred ninety-six".