Search a number
-
+
64521912 = 23371331953
BaseRepresentation
bin1111011000100…
…0011010111000
311111102001102110
43312020122320
5113004200122
610222532320
71412266350
oct366103270
9144361373
1064521912
113346a2a4
12197370a0
13104a1260
1487d7b60
1559e790c
hex3d886b8

64521912 has 128 divisors (see below), whose sum is σ = 205148160. Its totient is φ = 16450560.

The previous prime is 64521911. The next prime is 64521937. The reversal of 64521912 is 21912546.

64521912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 64521912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64521911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67228 + ... + 68180.

It is an arithmetic number, because the mean of its divisors is an integer number (1602720).

Almost surely, 264521912 is an apocalyptic number.

64521912 is a gapful number since it is divisible by the number (62) 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 64521912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102574080).

64521912 is an abundant number, since it is smaller than the sum of its proper divisors (140626248).

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

64521912 is a wasteful number, since it uses less digits than its factorization.

64521912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1009 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 64521912 is about 8032.5532677972. The cubic root of 64521912 is about 401.0843743410.

The spelling of 64521912 in words is "sixty-four million, five hundred twenty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 546 651 728 744 806 868 953 1092 1209 1302 1612 1736 1906 2184 2418 2604 2821 2859 3224 3812 4836 5208 5642 5718 6671 7624 8463 9672 11284 11436 12389 13342 16926 20013 22568 22872 24778 26684 29543 33852 37167 40026 49556 53368 59086 67704 74334 80052 86723 88629 99112 118172 148668 160104 173446 177258 206801 236344 260169 297336 346892 354516 384059 413602 520338 620403 693784 709032 768118 827204 1040676 1152177 1240806 1536236 1654408 2081352 2304354 2481612 2688413 3072472 4608708 4963224 5376826 8065239 9217416 10753652 16130478 21507304 32260956 64521912