Search a number
-
+
64190412 = 2232111337337
BaseRepresentation
bin1111010011011…
…1011111001100
311110210012200200
43310313133030
5112413043122
610211453500
71406416026
oct364673714
9143705620
1064190412
1133263230
12195b7290
13103b63c0
14874d016
15597e5ac
hex3d377cc

64190412 has 144 divisors (see below), whose sum is σ = 196359072. Its totient is φ = 17418240.

The previous prime is 64190411. The next prime is 64190431. The reversal of 64190412 is 21409146.

64190412 is a `hidden beast` number, since 64 + 190 + 412 = 666.

It is not an unprimeable number, because it can be changed into a prime (64190411) 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 47 ways as a sum of consecutive naturals, for example, 190308 + ... + 190644.

Almost surely, 264190412 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 64190412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98179536).

64190412 is an abundant number, since it is smaller than the sum of its proper divisors (132168660).

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

64190412 is a wasteful number, since it uses less digits than its factorization.

64190412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 64190412 is about 8011.8919114027. The cubic root of 64190412 is about 400.3962989049.

Adding to 64190412 its reverse (21409146), we get a palindrome (85599558).

The spelling of 64190412 in words is "sixty-four million, one hundred ninety thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 37 39 44 52 66 74 78 99 111 117 132 143 148 156 198 222 234 286 333 337 396 407 429 444 468 481 572 666 674 814 858 962 1011 1221 1287 1332 1348 1443 1628 1716 1924 2022 2442 2574 2886 3033 3663 3707 4044 4329 4381 4884 5148 5291 5772 6066 7326 7414 8658 8762 10582 11121 12132 12469 13143 14652 14828 15873 17316 17524 21164 22242 24938 26286 31746 33363 37407 39429 44484 47619 48191 49876 52572 63492 66726 74814 78858 95238 96382 112221 133452 137159 144573 149628 157716 162097 190476 192764 224442 274318 289146 324194 411477 433719 448884 486291 548636 578292 648388 822954 867438 972582 1234431 1458873 1645908 1734876 1783067 1945164 2468862 2917746 3566134 4937724 5349201 5835492 7132268 10698402 16047603 21396804 32095206 64190412