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64379392 = 297112371
BaseRepresentation
bin1111010110010…
…1101000000000
311111010210220221
43311211220000
5112440120032
610215512424
71411134010
oct365455000
9144123827
1064379392
1133382210
1219688714
131045141c
14879bc40
1559ba597
hex3d65a00

64379392 has 160 divisors (see below), whose sum is σ = 169703424. Its totient is φ = 23654400.

The previous prime is 64379363. The next prime is 64379407. The reversal of 64379392 is 29397346.

It is a super-2 number, since 2×643793922 = 8289412228579328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 906717 + ... + 906787.

Almost surely, 264379392 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 64379392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84851712).

64379392 is an abundant number, since it is smaller than the sum of its proper divisors (105324032).

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

64379392 is a wasteful number, since it uses less digits than its factorization.

64379392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its digits is 244944, while the sum is 43.

The square root of 64379392 is about 8023.6769625902. The cubic root of 64379392 is about 400.7888432930.

It can be divided in two parts, 64 and 379392, that added together give a square (379456 = 6162).

The spelling of 64379392 in words is "sixty-four million, three hundred seventy-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 64 71 77 88 92 112 128 142 154 161 176 184 224 253 256 284 308 322 352 368 448 497 506 512 568 616 644 704 736 781 896 994 1012 1136 1232 1288 1408 1472 1562 1633 1771 1792 1988 2024 2272 2464 2576 2816 2944 3124 3266 3542 3584 3976 4048 4544 4928 5152 5467 5632 5888 6248 6532 7084 7952 8096 9088 9856 10304 10934 11431 11776 12496 13064 14168 15904 16192 17963 18176 19712 20608 21868 22862 24992 26128 28336 31808 32384 35926 36352 39424 41216 43736 45724 49984 52256 56672 63616 64768 71852 82432 87472 91448 99968 104512 113344 125741 127232 129536 143704 174944 182896 199936 209024 226688 251482 254464 287408 349888 365792 399872 418048 453376 502964 574816 699776 731584 836096 906752 1005928 1149632 1399552 1463168 2011856 2299264 2799104 2926336 4023712 4598528 5852672 8047424 9197056 16094848 32189696 64379392