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64382820 = 22358211307
BaseRepresentation
bin1111010110011…
…0011101100100
311111010222121220
43311212131210
5112440222240
610215540340
71411150005
oct365463544
9144128556
1064382820
1133384847
121968a6b0
1310452b58
14879d1ac
1559bb5d0
hex3d66764

64382820 has 48 divisors (see below), whose sum is σ = 180629568. Its totient is φ = 17134720.

The previous prime is 64382803. The next prime is 64382821. The reversal of 64382820 is 2828346.

It is a super-2 number, since 2×643828202 = 8290295022304800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64382821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48607 + ... + 49913.

It is an arithmetic number, because the mean of its divisors is an integer number (3763116).

Almost surely, 264382820 is an apocalyptic number.

64382820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64382820 is an abundant number, since it is smaller than the sum of its proper divisors (116246748).

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

64382820 is a wasteful number, since it uses less digits than its factorization.

64382820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 64382820 is about 8023.8905775191. The cubic root of 64382820 is about 400.7959567482.

The spelling of 64382820 in words is "sixty-four million, three hundred eighty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 821 1307 1642 2463 2614 3284 3921 4105 4926 5228 6535 7842 8210 9852 12315 13070 15684 16420 19605 24630 26140 39210 49260 78420 1073047 2146094 3219141 4292188 5365235 6438282 10730470 12876564 16095705 21460940 32191410 64382820