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413461640 = 23510336541
BaseRepresentation
bin11000101001001…
…110110010001000
31001211000000202002
4120221032302020
51321321233030
6105005530132
713150236344
oct3051166210
91054000662
10413461640
111a242a939
12b6573948
1367875977
143ccaa624
1526472245
hex18a4ec88

413461640 has 16 divisors (see below), whose sum is σ = 930288780. Its totient is φ = 165384640.

The previous prime is 413461597. The next prime is 413461649. The reversal of 413461640 is 46164314.

It can be written as a sum of positive squares in 2 ways, for example, as 389588644 + 23872996 = 19738^2 + 4886^2 .

It is not an unprimeable number, because it can be changed into a prime (413461649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5168231 + ... + 5168310.

Almost surely, 2413461640 is an apocalyptic number.

413461640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413461640 is an abundant number, since it is smaller than the sum of its proper divisors (516827140).

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

413461640 is a wasteful number, since it uses less digits than its factorization.

413461640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10336552 (or 10336548 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 413461640 is about 20333.7561704669. The cubic root of 413461640 is about 744.9807901598.

The spelling of 413461640 in words is "four hundred thirteen million, four hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 10336541 20673082 41346164 51682705 82692328 103365410 206730820 413461640