Search a number
-
+
64545156 = 22321321032
BaseRepresentation
bin1111011000111…
…0000110000100
311111110020022100
43312032012010
5113010421111
610223232100
71412424204
oct366160604
9144406270
1064545156
1133485805
1219748630
13104aba00
148802404
1559ee756
hex3d8e184

64545156 has 81 divisors (see below), whose sum is σ = 178403589. Its totient is φ = 19667232.

The previous prime is 64545059. The next prime is 64545157. The reversal of 64545156 is 65154546.

64545156 = T53 + T54 + ... + T728.

The square root of 64545156 is 8034.

It is a perfect power (a square), and thus also a powerful number.

64545156 is a `hidden beast` number, since 64 + 545 + 1 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9548100 + 54997056 = 3090^2 + 7416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 64545156.

It is not an unprimeable number, because it can be changed into a prime (64545157) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 626601 + ... + 626703.

Almost surely, 264545156 is an apocalyptic number.

64545156 is the 8034-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64545156

64545156 is an abundant number, since it is smaller than the sum of its proper divisors (113858433).

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

64545156 is a wasteful number, since it uses less digits than its factorization.

64545156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The cubic root of 64545156 is about 401.1325320682.

Multiplying 64545156 by its sum of digits (36), we get a square (2323625616 = 482042).

64545156 divided by its sum of digits (36) gives a square (1792921 = 13392).

The spelling of 64545156 in words is "sixty-four million, five hundred forty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 156 169 206 234 309 338 412 468 507 618 676 927 1014 1236 1339 1521 1854 2028 2678 3042 3708 4017 5356 6084 8034 10609 12051 16068 17407 21218 24102 31827 34814 42436 48204 52221 63654 69628 95481 104442 127308 137917 156663 190962 208884 275834 313326 381924 413751 551668 626652 827502 1241253 1655004 1792921 2482506 3585842 4965012 5378763 7171684 10757526 16136289 21515052 32272578 64545156