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40091328 = 263323201
BaseRepresentation
bin1001100011101…
…1111011000000
32210102211222000
42120323323000
540230410303
63551144000
7664525224
oct230737300
983384860
1040091328
11206a3232
1211515000
1383c92a4
145478784
1537bdda3
hex263bec0

40091328 has 56 divisors (see below), whose sum is σ = 117866160. Its totient is φ = 13363200.

The previous prime is 40091327. The next prime is 40091333. The reversal of 40091328 is 82319004.

40091328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40091327) 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, 9873 + ... + 13328.

Almost surely, 240091328 is an apocalyptic number.

40091328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40091328 is an abundant number, since it is smaller than the sum of its proper divisors (77774832).

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

40091328 is a wasteful number, since it uses less digits than its factorization.

40091328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23222 (or 23206 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40091328 is about 6331.7713161484. The cubic root of 40091328 is about 342.2552726337.

The spelling of 40091328 in words is "forty million, ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 23201 46402 69603 92804 139206 185608 208809 278412 371216 417618 556824 626427 742432 835236 1113648 1252854 1484864 1670472 2227296 2505708 3340944 4454592 5011416 6681888 10022832 13363776 20045664 40091328