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639957900 = 223522638111
BaseRepresentation
bin100110001001001…
…111101110001100
31122121012020012110
4212021033232030
52302312123100
6143300304020
721600360321
oct4611175614
91577166173
10639957900
112a926a92a
1215a3a2010
13a277921a
1460dc8b48
153b2b2250
hex2624fb8c

639957900 has 72 divisors (see below), whose sum is σ = 1858881024. Its totient is φ = 169985600.

The previous prime is 639957887. The next prime is 639957947. The reversal of 639957900 is 9759936.

It is a happy number.

639957900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6399579002 = 819092227544820000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 639957900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74845 + ... + 82955.

It is an arithmetic number, because the mean of its divisors is an integer number (25817792).

Almost surely, 2639957900 is an apocalyptic number.

639957900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 639957900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929440512).

639957900 is an abundant number, since it is smaller than the sum of its proper divisors (1218923124).

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

639957900 is a wasteful number, since it uses less digits than its factorization.

639957900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391 (or 8384 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 48.

The square root of 639957900 is about 25297.3891933535. The cubic root of 639957900 is about 861.7549794108.

The spelling of 639957900 in words is "six hundred thirty-nine million, nine hundred fifty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 263 300 526 789 1052 1315 1578 2630 3156 3945 5260 6575 7890 8111 13150 15780 16222 19725 24333 26300 32444 39450 40555 48666 78900 81110 97332 121665 162220 202775 243330 405550 486660 608325 811100 1216650 2133193 2433300 4266386 6399579 8532772 10665965 12799158 21331930 25598316 31997895 42663860 53329825 63995790 106659650 127991580 159989475 213319300 319978950 639957900