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64397376 = 263383449
BaseRepresentation
bin1111010110101…
…0000001000000
311111011201121000
43311222001000
5112441204001
610220132000
71411240311
oct365520100
9144151530
1064397376
113339477a
1219697000
1310459674
1487a4608
1559c0a86
hex3d6a040

64397376 has 112 divisors (see below), whose sum is σ = 192024000. Its totient is φ = 21159936.

The previous prime is 64397363. The next prime is 64397381. The reversal of 64397376 is 67379346.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143200 + ... + 143648.

It is an arithmetic number, because the mean of its divisors is an integer number (1714500).

Almost surely, 264397376 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 64397376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96012000).

64397376 is an abundant number, since it is smaller than the sum of its proper divisors (127626624).

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

64397376 is a wasteful number, since it uses less digits than its factorization.

64397376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 537 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 64397376 is about 8024.7975675403. The cubic root of 64397376 is about 400.8261591446.

The spelling of 64397376 in words is "sixty-four million, three hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 144 166 192 216 249 288 332 432 449 498 576 664 747 864 898 996 1328 1347 1494 1728 1796 1992 2241 2656 2694 2988 3592 3984 4041 4482 5312 5388 5976 7184 7968 8082 8964 10776 11952 12123 14368 15936 16164 17928 21552 23904 24246 28736 32328 35856 37267 43104 47808 48492 64656 71712 74534 86208 96984 111801 129312 143424 149068 193968 223602 258624 298136 335403 387936 447204 596272 670806 775872 894408 1006209 1192544 1341612 1788816 2012418 2385088 2683224 3577632 4024836 5366448 7155264 8049672 10732896 16099344 21465792 32198688 64397376