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40029132 = 223111323327
BaseRepresentation
bin1001100010110…
…0101111001100
32210022200122110
42120230233030
540221413012
63545544020
7664146003
oct230545714
983280573
1040029132
1120660530
12114a5010
1383a6ba0
14545dc3a
1537aa73c
hex262cbcc

40029132 has 48 divisors (see below), whose sum is σ = 109734912. Its totient is φ = 11196480.

The previous prime is 40029127. The next prime is 40029133. The reversal of 40029132 is 23192004.

40029132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40029099 and 40029108.

It is not an unprimeable number, because it can be changed into a prime (40029133) 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 15 ways as a sum of consecutive naturals, for example, 9948 + ... + 13379.

It is an arithmetic number, because the mean of its divisors is an integer number (2286144).

Almost surely, 240029132 is an apocalyptic number.

It is an amenable number.

40029132 is an abundant number, since it is smaller than the sum of its proper divisors (69705780).

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

40029132 is a wasteful number, since it uses less digits than its factorization.

40029132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23358 (or 23356 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 40029132 is about 6326.8579879748. The cubic root of 40029132 is about 342.0781942199.

The spelling of 40029132 in words is "forty million, twenty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 23327 46654 69981 93308 139962 256597 279924 303251 513194 606502 769791 909753 1026388 1213004 1539582 1819506 3079164 3335761 3639012 6671522 10007283 13343044 20014566 40029132