Search a number
-
+
64634856 = 233111337509
BaseRepresentation
bin1111011010001…
…1111111101000
311111121210100120
43312203333220
5113021303411
610225203240
71413246546
oct366437750
9144553316
1064634856
1133537140
1219790520
13105107a0
148826d96
155a1b106
hex3da3fe8

64634856 has 128 divisors (see below), whose sum is σ = 195350400. Its totient is φ = 17556480.

The previous prime is 64634851. The next prime is 64634873. The reversal of 64634856 is 65843646.

It is a super-2 number, since 2×646348562 = 8355329220281472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64634851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126730 + ... + 127238.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 264634856 is an apocalyptic number.

64634856 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64634856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97675200).

64634856 is an abundant number, since it is smaller than the sum of its proper divisors (130715544).

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

64634856 is a wasteful number, since it uses less digits than its factorization.

64634856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 575 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 64634856 is about 8039.5805860754. The cubic root of 64634856 is about 401.3182673221.

The spelling of 64634856 in words is "sixty-four million, six hundred thirty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 37 39 44 52 66 74 78 88 104 111 132 143 148 156 222 264 286 296 312 407 429 444 481 509 572 814 858 888 962 1018 1144 1221 1443 1527 1628 1716 1924 2036 2442 2886 3054 3256 3432 3848 4072 4884 5291 5599 5772 6108 6617 9768 10582 11198 11544 12216 13234 15873 16797 18833 19851 21164 22396 26468 31746 33594 37666 39702 42328 44792 52936 56499 63492 67188 72787 75332 79404 112998 126984 134376 145574 150664 158808 207163 218361 225996 244829 291148 414326 436722 451992 489658 582296 621489 734487 828652 873444 979316 1242978 1468974 1657304 1746888 1958632 2485956 2693119 2937948 4971912 5386238 5875896 8079357 10772476 16158714 21544952 32317428 64634856