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40876704 = 25331121723
BaseRepresentation
bin1001101111101…
…1101010100000
32211220202022000
42123323222200
540431023304
64020044000
71004306031
oct233735240
984822260
1040876704
112108a300
1211833600
1386128cb
145600a88
1538c6939
hex26fbaa0

40876704 has 288 divisors, whose sum is σ = 144789120. Its totient is φ = 11151360.

The previous prime is 40876691. The next prime is 40876709. The reversal of 40876704 is 40767804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40876709) 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, 1777237 + ... + 1777259.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 240876704 is an apocalyptic number.

40876704 is a gapful number since it is divisible by the number (44) 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 40876704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

40876704 is an abundant number, since it is smaller than the sum of its proper divisors (103912416).

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

40876704 is a wasteful number, since it uses less digits than its factorization.

40876704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 40876704 is about 6393.4891882289. The cubic root of 40876704 is about 344.4757254360.

Subtracting from 40876704 its reverse (40767804), we obtain a square (108900 = 3302).

The spelling of 40876704 in words is "forty million, eight hundred seventy-six thousand, seven hundred four".