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40132428 = 2237477767
BaseRepresentation
bin1001100100010…
…1111101001100
32210111221100020
42121011331030
540233214203
63552102140
7665056110
oct231057514
983457306
1040132428
11207210a6
1211534950
138411bcb
145489740
1537cb153
hex2645f4c

40132428 has 24 divisors (see below), whose sum is σ = 107020032. Its totient is φ = 11466384.

The previous prime is 40132403. The next prime is 40132429. The reversal of 40132428 is 82423104.

40132428 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 2×401324282 = 3221223554350368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40132398 and 40132407.

It is not an unprimeable number, because it can be changed into a prime (40132429) by changing a digit.

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, 238800 + ... + 238967.

It is an arithmetic number, because the mean of its divisors is an integer number (4459168).

Almost surely, 240132428 is an apocalyptic number.

It is an amenable number.

40132428 is an abundant number, since it is smaller than the sum of its proper divisors (66887604).

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

40132428 is a wasteful number, since it uses less digits than its factorization.

40132428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477781 (or 477779 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 40132428 is about 6335.0160220792. The cubic root of 40132428 is about 342.3721880888.

It can be divided in two parts, 4013 and 2428, that added together give a triangular number (6441 = T113).

The spelling of 40132428 in words is "forty million, one hundred thirty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 477767 955534 1433301 1911068 2866602 3344369 5733204 6688738 10033107 13377476 20066214 40132428