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465540040 = 23571662643
BaseRepresentation
bin11011101111111…
…001001111001000
31012102222212212201
4123233321033020
51423134240130
6114110045544
714352011410
oct3357711710
91172885781
10465540040
11219870139
1210baa98b4
13755ab0a4
1445b85640
152ad0cbca
hex1bbf93c8

465540040 has 32 divisors (see below), whose sum is σ = 1197103680. Its totient is φ = 159613632.

The previous prime is 465540001. The next prime is 465540041. The reversal of 465540040 is 40045564.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 465539990 and 465540008.

It is not an unprimeable number, because it can be changed into a prime (465540041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831042 + ... + 831601.

It is an arithmetic number, because the mean of its divisors is an integer number (37409490).

Almost surely, 2465540040 is an apocalyptic number.

465540040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465540040 is an abundant number, since it is smaller than the sum of its proper divisors (731563640).

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

465540040 is a wasteful number, since it uses less digits than its factorization.

465540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662661 (or 1662657 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 465540040 is about 21576.3768969677. The cubic root of 465540040 is about 775.0308915886.

The spelling of 465540040 in words is "four hundred sixty-five million, five hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1662643 3325286 6650572 8313215 11638501 13301144 16626430 23277002 33252860 46554004 58192505 66505720 93108008 116385010 232770020 465540040