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672331842 = 2327213191307
BaseRepresentation
bin101000000100101…
…111100001000010
31201212002222220100
4220010233201002
52334104104332
6150414223230
722442504100
oct5004574102
91655088810
10672331842
11315571956
121691b4b16
13a93a28c0
1465414c70
153e05967c
hex2812f842

672331842 has 144 divisors (see below), whose sum is σ = 1840430592. Its totient is φ = 175815360.

The previous prime is 672331841. The next prime is 672331859. The reversal of 672331842 is 248133276.

It is a happy number.

It is a super-2 number, since 2×6723318422 = 904060211534225928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 672331797 and 672331806.

It is not an unprimeable number, because it can be changed into a prime (672331841) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2189853 + ... + 2190159.

It is an arithmetic number, because the mean of its divisors is an integer number (12780768).

Almost surely, 2672331842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672331842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920215296).

672331842 is an abundant number, since it is smaller than the sum of its proper divisors (1168098750).

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

672331842 is a wasteful number, since it uses less digits than its factorization.

672331842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 523 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 672331842 is about 25929.3625451919. The cubic root of 672331842 is about 876.0479816716.

The spelling of 672331842 in words is "six hundred seventy-two million, three hundred thirty-one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 191 234 273 294 307 382 441 546 573 614 637 819 882 921 1146 1274 1337 1638 1719 1842 1911 2149 2483 2674 2763 3438 3822 3991 4011 4298 4966 5526 5733 6447 7449 7982 8022 9359 11466 11973 12033 12894 14898 15043 17381 18718 19341 22347 23946 24066 27937 28077 30086 34762 35919 38682 44694 45129 52143 55874 56154 58637 71838 83811 84231 90258 104286 117274 121667 135387 156429 167622 168462 175911 195559 243334 251433 270774 312858 351822 365001 391118 410459 502866 527733 586677 730002 762281 820918 1055466 1095003 1173354 1231377 1524562 1760031 2190006 2286843 2462754 2873213 3520062 3694131 4573686 5335967 5746426 6860529 7388262 8619639 10671934 13721058 16007901 17239278 25858917 32015802 37351769 48023703 51717834 74703538 96047406 112055307 224110614 336165921 672331842