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442624020 = 223536720101
BaseRepresentation
bin11010011000011…
…110100000010100
31010211212122000020
4122120132200110
51401302432040
6111530545140
713653146016
oct3230364024
91124778006
10442624020
11207938a83
121042981b0
1370916607
1442adc1b6
1528cd2cd0
hex1a61e814

442624020 has 48 divisors (see below), whose sum is σ = 1242786048. Its totient is φ = 117705600.

The previous prime is 442623989. The next prime is 442624027. The reversal of 442624020 is 20426244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442624027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11970 + ... + 32070.

It is an arithmetic number, because the mean of its divisors is an integer number (25891376).

Almost surely, 2442624020 is an apocalyptic number.

It is an amenable number.

442624020 is an abundant number, since it is smaller than the sum of its proper divisors (800162028).

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

442624020 is a wasteful number, since it uses less digits than its factorization.

442624020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20480 (or 20478 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 442624020 is about 21038.6316094940. The cubic root of 442624020 is about 762.0994696583.

The spelling of 442624020 in words is "four hundred forty-two million, six hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 367 734 1101 1468 1835 2202 3670 4404 5505 7340 11010 20101 22020 40202 60303 80404 100505 120606 201010 241212 301515 402020 603030 1206060 7377067 14754134 22131201 29508268 36885335 44262402 73770670 88524804 110656005 147541340 221312010 442624020