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40414752 = 2532720047
BaseRepresentation
bin1001101000101…
…0111000100000
32211001021121200
42122022320200
540321233002
64002121200
71000343160
oct232127040
984037550
1040414752
11208a4224
1211650200
1384b0571
1455205a0
153834b1c
hex268ae20

40414752 has 72 divisors (see below), whose sum is σ = 131354496. Its totient is φ = 11546496.

The previous prime is 40414739. The next prime is 40414817. The reversal of 40414752 is 25741404.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8008 + ... + 12039.

It is an arithmetic number, because the mean of its divisors is an integer number (1824368).

Almost surely, 240414752 is an apocalyptic number.

40414752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40414752 is an abundant number, since it is smaller than the sum of its proper divisors (90939744).

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

40414752 is a wasteful number, since it uses less digits than its factorization.

40414752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20070 (or 20059 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 40414752 is about 6357.2597870466. The cubic root of 40414752 is about 343.1731538816.

The spelling of 40414752 in words is "forty million, four hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 20047 40094 60141 80188 120282 140329 160376 180423 240564 280658 320752 360846 420987 481128 561316 641504 721692 841974 962256 1122632 1262961 1443384 1683948 1924512 2245264 2525922 2886768 3367896 4490528 5051844 5773536 6735792 10103688 13471584 20207376 40414752