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40416372 = 22322938713
BaseRepresentation
bin1001101000101…
…1010001110100
32211001100211200
42122023101310
540321310442
64002132500
71000350663
oct232132164
984040750
1040416372
11208a5467
1211651130
1384b1219
145520dda
15383534c
hex268b474

40416372 has 36 divisors (see below), whose sum is σ = 105689220. Its totient is φ = 13007232.

The previous prime is 40416349. The next prime is 40416373. The reversal of 40416372 is 27361404.

It can be written as a sum of positive squares in 2 ways, for example, as 27499536 + 12916836 = 5244^2 + 3594^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40416373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18313 + ... + 20400.

Almost surely, 240416372 is an apocalyptic number.

It is an amenable number.

40416372 is an abundant number, since it is smaller than the sum of its proper divisors (65272848).

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

40416372 is a wasteful number, since it uses less digits than its factorization.

40416372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38752 (or 38747 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 40416372 is about 6357.3871991566. The cubic root of 40416372 is about 343.1777391139.

Adding to 40416372 its reverse (27361404), we get a palindrome (67777776).

The spelling of 40416372 in words is "forty million, four hundred sixteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 38713 77426 116139 154852 232278 348417 464556 696834 1122677 1393668 2245354 3368031 4490708 6736062 10104093 13472124 20208186 40416372