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642429252 = 223317349907
BaseRepresentation
bin100110010010101…
…011000101000100
31122202211210021000
4212102223011010
52303430214002
6143425253300
721630362403
oct4622530504
91582753230
10642429252
112aa6a8673
1215b194230
13a313306a
146146d63a
153b5ee61c
hex264ab144

642429252 has 48 divisors (see below), whose sum is σ = 1763536320. Its totient is φ = 201545856.

The previous prime is 642429241. The next prime is 642429301. The reversal of 642429252 is 252924246.

It is a happy number.

642429252 is a `hidden beast` number, since 642 + 4 + 2 + 9 + 2 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173118 + ... + 176789.

It is an arithmetic number, because the mean of its divisors is an integer number (36740340).

Almost surely, 2642429252 is an apocalyptic number.

It is an amenable number.

642429252 is an abundant number, since it is smaller than the sum of its proper divisors (1121107068).

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

642429252 is a wasteful number, since it uses less digits than its factorization.

642429252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349937 (or 349929 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 642429252 is about 25346.1881157700. The cubic root of 642429252 is about 862.8628461982.

The spelling of 642429252 in words is "six hundred forty-two million, four hundred twenty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 349907 699814 1049721 1399628 2099442 3149163 4198884 5948419 6298326 9447489 11896838 12596652 17845257 18894978 23793676 35690514 37789956 53535771 71381028 107071542 160607313 214143084 321214626 642429252