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40788324 = 22321133009
BaseRepresentation
bin1001101110011…
…0000101100100
32211202021001200
42123212011210
540420211244
64014122500
71003460253
oct233460544
984667050
1040788324
1121029965
12117b0430
1385b1605
1455ba79a
1538aa669
hex26e6164

40788324 has 18 divisors (see below), whose sum is σ = 103103910. Its totient is φ = 13596096.

The previous prime is 40788311. The next prime is 40788329. The reversal of 40788324 is 42388704.

It can be written as a sum of positive squares in only one way, i.e., 40449600 + 338724 = 6360^2 + 582^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1133009 = 40788324 / (4 + 0 + 7 + 8 + 8 + 3 + 2 + 4).

It is not an unprimeable number, because it can be changed into a prime (40788329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 566469 + ... + 566540.

It is an arithmetic number, because the mean of its divisors is an integer number (5727995).

Almost surely, 240788324 is an apocalyptic number.

It is an amenable number.

40788324 is an abundant number, since it is smaller than the sum of its proper divisors (62315586).

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

40788324 is a wasteful number, since it uses less digits than its factorization.

40788324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133019 (or 1133014 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 40788324 is about 6386.5737293168. The cubic root of 40788324 is about 344.2272812963.

The spelling of 40788324 in words is "forty million, seven hundred eighty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1133009 2266018 3399027 4532036 6798054 10197081 13596108 20394162 40788324