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672421842 = 2321710121757
BaseRepresentation
bin101000000101000…
…101011111010010
31201212021120100200
4220011011133102
52334114444332
6150420200030
722443330351
oct5005053722
91655246320
10672421842
11315623534
12169239016
13a9404861
1465439998
153e07617c
hex281457d2

672421842 has 48 divisors (see below), whose sum is σ = 1557959832. Its totient is φ = 208857600.

The previous prime is 672421807. The next prime is 672421847. The reversal of 672421842 is 248124276.

It can be written as a sum of positive squares in 4 ways, for example, as 614494521 + 57927321 = 24789^2 + 7611^2 .

It is a super-2 number, since 2×6724218422 = 904302267197345928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 672421797 and 672421806.

It is not an unprimeable number, because it can be changed into a prime (672421847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20028 + ... + 41784.

Almost surely, 2672421842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672421842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778979916).

672421842 is an abundant number, since it is smaller than the sum of its proper divisors (885537990).

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

672421842 is a wasteful number, since it uses less digits than its factorization.

672421842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21883 (or 21880 counting only the distinct ones).

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

The square root of 672421842 is about 25931.0979713548. The cubic root of 672421842 is about 876.0870699092.

The spelling of 672421842 in words is "six hundred seventy-two million, four hundred twenty-one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 606 909 1717 1818 3434 5151 10302 15453 21757 30906 43514 65271 130542 195813 369869 391626 739738 1109607 2197457 2219214 3328821 4394914 6592371 6657642 13184742 19777113 37356769 39554226 74713538 112070307 224140614 336210921 672421842