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40552704 = 28335867
BaseRepresentation
bin1001101010110…
…0100100000000
32211022021212000
42122230210000
540340141304
64005104000
71001456313
oct232544400
984267760
1040552704
1120988935
12116b8000
13852b2aa
14555897a
153860939
hex26ac900

40552704 has 72 divisors (see below), whose sum is σ = 119941920. Its totient is φ = 13515264.

The previous prime is 40552691. The next prime is 40552727. The reversal of 40552704 is 40725504.

40552704 is a `hidden beast` number, since 40 + 552 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3979 + ... + 9845.

It is an arithmetic number, because the mean of its divisors is an integer number (1665860).

Almost surely, 240552704 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 40552704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59970960).

40552704 is an abundant number, since it is smaller than the sum of its proper divisors (79389216).

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

40552704 is an equidigital number, since it uses as much as digits as its factorization.

40552704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 40552704 is about 6368.1005017195. The cubic root of 40552704 is about 343.5631736749.

The spelling of 40552704 in words is "forty million, five hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 5867 6912 11734 17601 23468 35202 46936 52803 70404 93872 105606 140808 158409 187744 211212 281616 316818 375488 422424 563232 633636 750976 844848 1126464 1267272 1501952 1689696 2252928 2534544 3379392 4505856 5069088 6758784 10138176 13517568 20276352 40552704