Search a number
-
+
64372968 = 2334112821
BaseRepresentation
bin1111010110010…
…0000011101000
311111010111010000
43311210003220
5112434413333
610215423000
71411106202
oct365440350
9144114100
1064372968
1133378400
1219684a60
131044b51a
148799772
1559b8713
hex3d640e8

64372968 has 120 divisors (see below), whose sum is σ = 198426690. Its totient is φ = 19483200.

The previous prime is 64372967. The next prime is 64372981. The reversal of 64372968 is 86927346.

It can be written as a sum of positive squares in only one way, i.e., 59629284 + 4743684 = 7722^2 + 2178^2 .

It is not an unprimeable number, because it can be changed into a prime (64372963) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 77998 + ... + 78818.

Almost surely, 264372968 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 64372968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99213345).

64372968 is an abundant number, since it is smaller than the sum of its proper divisors (134053722).

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

64372968 is a wasteful number, since it uses less digits than its factorization.

64372968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 837 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 64372968 is about 8023.2766373845. The cubic root of 64372968 is about 400.7755121473.

The spelling of 64372968 in words is "sixty-four million, three hundred seventy-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 264 297 324 363 396 484 594 648 726 792 821 891 968 1089 1188 1452 1642 1782 2178 2376 2463 2904 3267 3284 3564 4356 4926 6534 6568 7128 7389 8712 9031 9801 9852 13068 14778 18062 19602 19704 22167 26136 27093 29556 36124 39204 44334 54186 59112 66501 72248 78408 81279 88668 99341 108372 133002 162558 177336 198682 216744 243837 266004 298023 325116 397364 487674 532008 596046 650232 731511 794728 894069 975348 1192092 1463022 1788138 1950696 2384184 2682207 2926044 3576276 5364414 5852088 7152552 8046621 10728828 16093242 21457656 32186484 64372968