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40132456 = 2371355127
BaseRepresentation
bin1001100100010…
…1111101101000
32210111221101021
42121011331220
540233214311
63552102224
7665056150
oct231057550
983457337
1040132456
1120721121
1211534974
138411c20
145489760
1537cb171
hex2645f68

40132456 has 32 divisors (see below), whose sum is σ = 92615040. Its totient is φ = 15876288.

The previous prime is 40132439. The next prime is 40132511. The reversal of 40132456 is 65423104.

40132456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401324562 = 3221228049183872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40132456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26836 + ... + 28291.

It is an arithmetic number, because the mean of its divisors is an integer number (2894220).

Almost surely, 240132456 is an apocalyptic number.

It is an amenable number.

40132456 is an abundant number, since it is smaller than the sum of its proper divisors (52482584).

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

40132456 is a wasteful number, since it uses less digits than its factorization.

40132456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55153 (or 55149 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 40132456 is about 6335.0182320180. The cubic root of 40132456 is about 342.3722677120.

It can be divided in two parts, 40 and 132456, that added together give a square (132496 = 3642).

The spelling of 40132456 in words is "forty million, one hundred thirty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 55127 110254 220508 385889 441016 716651 771778 1433302 1543556 2866604 3087112 5016557 5733208 10033114 20066228 40132456