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64379808 = 2532317211
BaseRepresentation
bin1111010110010…
…1101110100000
311111010211111100
43311211232200
5112440123213
610215514400
71411135143
oct365455640
9144124440
1064379808
1133382559
1219688a00
131045167c
14879c05a
1559ba773
hex3d65ba0

64379808 has 72 divisors (see below), whose sum is σ = 189012096. Its totient is φ = 20764800.

The previous prime is 64379807. The next prime is 64379813. The reversal of 64379808 is 80897346.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64379803) 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, 5323 + ... + 12533.

It is an arithmetic number, because the mean of its divisors is an integer number (2625168).

Almost surely, 264379808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64379808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94506048).

64379808 is an abundant number, since it is smaller than the sum of its proper divisors (124632288).

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

64379808 is a wasteful number, since it uses less digits than its factorization.

64379808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7258 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 64379808 is about 8023.7028858252. The cubic root of 64379808 is about 400.7897065496.

The spelling of 64379808 in words is "sixty-four million, three hundred seventy-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 7211 8928 14422 21633 28844 43266 57688 64899 86532 115376 129798 173064 223541 230752 259596 346128 447082 519192 670623 692256 894164 1038384 1341246 1788328 2011869 2076768 2682492 3576656 4023738 5364984 7153312 8047476 10729968 16094952 21459936 32189904 64379808