Search a number
-
+
64298916 = 223211229509
BaseRepresentation
bin1111010101000…
…1111110100100
311110222201112100
43311101332210
5112430031131
610214052100
71410350253
oct365217644
9143881470
1064298916
1133327800
121964a030
13104238c6
14877a79a
1559a17e6
hex3d51fa4

64298916 has 108 divisors (see below), whose sum is σ = 185175900. Its totient is φ = 18775680.

The previous prime is 64298893. The next prime is 64298917. The reversal of 64298916 is 61989246.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43560000 + 20738916 = 6600^2 + 4554^2 .

It is not an unprimeable number, because it can be changed into a prime (64298917) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126070 + ... + 126578.

Almost surely, 264298916 is an apocalyptic number.

64298916 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 64298916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92587950).

64298916 is an abundant number, since it is smaller than the sum of its proper divisors (120876984).

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

64298916 is a wasteful number, since it uses less digits than its factorization.

64298916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 554 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 64298916 is about 8018.6604866399. The cubic root of 64298916 is about 400.6217746566.

The spelling of 64298916 in words is "sixty-four million, two hundred ninety-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 121 132 174 198 242 261 319 348 363 396 484 509 522 638 726 957 1018 1044 1089 1276 1452 1527 1914 2036 2178 2871 3054 3509 3828 4356 4581 5599 5742 6108 7018 9162 10527 11198 11484 14036 14761 16797 18324 21054 22396 29522 31581 33594 42108 44283 50391 59044 61589 63162 67188 88566 100782 123178 126324 132849 162371 177132 184767 201564 246356 265698 324742 369534 487113 531396 554301 649484 739068 974226 1108602 1461339 1786081 1948452 2217204 2922678 3572162 5358243 5845356 7144324 10716486 16074729 21432972 32149458 64298916