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842142672 = 24327835459
BaseRepresentation
bin110010001100100…
…001001111010000
32011200122021120100
4302030201033100
53211042031142
6215322012400
726604044310
oct6214411720
92150567510
10842142672
113a2405288
121b6047100
13105619a97
147dbb9440
154ddedb4c
hex323213d0

842142672 has 60 divisors (see below), whose sum is σ = 2693523040. Its totient is φ = 240611904.

The previous prime is 842142671. The next prime is 842142689. The reversal of 842142672 is 276241248.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842142671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416722 + ... + 418737.

Almost surely, 2842142672 is an apocalyptic number.

It is an amenable number.

842142672 is an abundant number, since it is smaller than the sum of its proper divisors (1851380368).

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

842142672 is a wasteful number, since it uses less digits than its factorization.

842142672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835480 (or 835471 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 842142672 is about 29019.6945538715. The cubic root of 842142672 is about 944.3403744807.

The spelling of 842142672 in words is "eight hundred forty-two million, one hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 835459 1670918 2506377 3341836 5012754 5848213 6683672 7519131 10025508 11696426 13367344 15038262 17544639 20051016 23392852 30076524 35089278 40102032 46785704 52633917 60153048 70178556 93571408 105267834 120306096 140357112 210535668 280714224 421071336 842142672