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407869072 = 24131960909
BaseRepresentation
bin11000010011111…
…001011010010000
31001102110220011221
4120103321122100
51313403302242
6104250014424
713051554442
oct3023713220
91042426157
10407869072
1119a260086
12b4717414
1366668260
143c252492
1525c1a167
hex184f9690

407869072 has 20 divisors (see below), whose sum is σ = 851034940. Its totient is φ = 188247168.

The previous prime is 407869069. The next prime is 407869087. The reversal of 407869072 is 270968704.

It can be written as a sum of positive squares in 2 ways, for example, as 248503696 + 159365376 = 15764^2 + 12624^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 980247 + ... + 980662.

It is an arithmetic number, because the mean of its divisors is an integer number (42551747).

Almost surely, 2407869072 is an apocalyptic number.

It is an amenable number.

407869072 is an abundant number, since it is smaller than the sum of its proper divisors (443165868).

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

407869072 is a wasteful number, since it uses less digits than its factorization.

407869072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960930 (or 1960924 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 407869072 is about 20195.7686657379. The cubic root of 407869072 is about 741.6066092064.

The spelling of 407869072 in words is "four hundred seven million, eight hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 1960909 3921818 7843636 15687272 25491817 31374544 50983634 101967268 203934536 407869072