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40904640 = 2632572029
BaseRepresentation
bin1001110000001…
…0011111000000
32211222011121200
42130002133000
540432422030
64020421200
71004453340
oct234023700
984864550
1040904640
11210a9297
1211847800
13862253a
14560ad20
1538ced60
hex27027c0

40904640 has 168 divisors, whose sum is σ = 160873440. Its totient is φ = 9345024.

The previous prime is 40904627. The next prime is 40904651. The reversal of 40904640 is 4640904.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19146 + ... + 21174.

It is an arithmetic number, because the mean of its divisors is an integer number (957580).

Almost surely, 240904640 is an apocalyptic number.

40904640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80436720).

40904640 is an abundant number, since it is smaller than the sum of its proper divisors (119968800).

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

40904640 is a wasteful number, since it uses less digits than its factorization.

40904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40904640 is about 6395.6735376346. The cubic root of 40904640 is about 344.5541815533.

The spelling of 40904640 in words is "forty million, nine hundred four thousand, six hundred forty".