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64685952 = 273417367
BaseRepresentation
bin1111011011000…
…0011110000000
311111201101110000
43312300132000
5113024422302
610230240000
71413551532
oct366603600
9144641400
1064685952
1133571571
12197b6000
131052ab16
14883b852
155a2b31c
hex3db0780

64685952 has 160 divisors (see below), whose sum is σ = 204383520. Its totient is φ = 20238336.

The previous prime is 64685939. The next prime is 64685977. The reversal of 64685952 is 25958646.

It is a super-2 number, since 2×646859522 = 8368544772292608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64685898 and 64685907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 176073 + ... + 176439.

It is an arithmetic number, because the mean of its divisors is an integer number (1277397).

Almost surely, 264685952 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 64685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102191760).

64685952 is an abundant number, since it is smaller than the sum of its proper divisors (139697568).

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

64685952 is a wasteful number, since it uses less digits than its factorization.

64685952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 389 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 64685952 is about 8042.7577360008. The cubic root of 64685952 is about 401.4239912732.

The spelling of 64685952 in words is "sixty-four million, six hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 367 384 408 432 459 544 576 612 648 734 816 864 918 1088 1101 1152 1224 1296 1377 1468 1632 1728 1836 2176 2202 2448 2592 2754 2936 3264 3303 3456 3672 4404 4896 5184 5508 5872 6239 6528 6606 7344 8808 9792 9909 10368 11016 11744 12478 13212 14688 17616 18717 19584 19818 22032 23488 24956 26424 29376 29727 35232 37434 39636 44064 46976 49912 52848 56151 58752 59454 70464 74868 79272 88128 99824 105696 112302 118908 140928 149736 158544 168453 176256 199648 211392 224604 237816 299472 317088 336906 399296 422784 449208 475632 505359 598944 634176 673812 798592 898416 951264 1010718 1197888 1268352 1347624 1796832 1902528 2021436 2395776 2695248 3593664 3805056 4042872 5390496 7187328 8085744 10780992 16171488 21561984 32342976 64685952