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421461640 = 23529363329
BaseRepresentation
bin11001000111101…
…111111010001000
31002101001110200101
4121013233322020
51330343233030
6105453215144
713305236065
oct3107577210
91071043611
10421461640
111a69a4406
12b91914b4
13694170b2
143dd8dc6c
15270027ca
hex191efe88

421461640 has 32 divisors (see below), whose sum is σ = 980991000. Its totient is φ = 162770944.

The previous prime is 421461613. The next prime is 421461641. The reversal of 421461640 is 46164124.

It can be written as a sum of positive squares in 4 ways, for example, as 345736836 + 75724804 = 18594^2 + 8702^2 .

It is a junction number, because it is equal to n+sod(n) for n = 421461599 and 421461608.

It is not an unprimeable number, because it can be changed into a prime (421461641) 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, 180505 + ... + 182824.

Almost surely, 2421461640 is an apocalyptic number.

421461640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421461640 is an abundant number, since it is smaller than the sum of its proper divisors (559529360).

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

421461640 is a wasteful number, since it uses less digits than its factorization.

421461640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363369 (or 363365 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 421461640 is about 20529.5309249871. The cubic root of 421461640 is about 749.7549658790.

The spelling of 421461640 in words is "four hundred twenty-one million, four hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 363329 726658 1453316 1816645 2906632 3633290 7266580 10536541 14533160 21073082 42146164 52682705 84292328 105365410 210730820 421461640