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642113800 = 235217188857
BaseRepresentation
bin100110010001011…
…110000100001000
31122202020202112121
4212101132010020
52303340120200
6143414421024
721624606616
oct4621360410
91582222477
10642113800
112aa502669
1215b061774
13a30525c3
14613ca6b6
153b58ae1a
hex2645e108

642113800 has 48 divisors (see below), whose sum is σ = 1580741460. Its totient is φ = 241735680.

The previous prime is 642113777. The next prime is 642113867. The reversal of 642113800 is 8311246.

It can be written as a sum of positive squares in 6 ways, for example, as 304362916 + 337750884 = 17446^2 + 18378^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91029 + ... + 97828.

Almost surely, 2642113800 is an apocalyptic number.

It is an amenable number.

642113800 is an abundant number, since it is smaller than the sum of its proper divisors (938627660).

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

642113800 is a wasteful number, since it uses less digits than its factorization.

642113800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188890 (or 188881 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 642113800 is about 25339.9644830059. The cubic root of 642113800 is about 862.7215925772.

The spelling of 642113800 in words is "six hundred forty-two million, one hundred thirteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 188857 377714 755428 944285 1510856 1888570 3210569 3777140 4721425 6421138 7554280 9442850 12842276 16052845 18885700 25684552 32105690 37771400 64211380 80264225 128422760 160528450 321056900 642113800