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64114932 = 2237337421
BaseRepresentation
bin1111010010010…
…1000011110100
311110122101011010
43310211003310
5112403134212
610210112220
71405653000
oct364450364
9143571133
1064114932
1133211552
121957b670
131038ac3b
14872d700
15596703c
hex3d250f4

64114932 has 96 divisors (see below), whose sum is σ = 179603200. Its totient is φ = 17781120.

The previous prime is 64114931. The next prime is 64115039. The reversal of 64114932 is 23941146.

64114932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641149322 = 8221449010729248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64114932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64114931) 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, 152082 + ... + 152502.

Almost surely, 264114932 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 64114932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89801600).

64114932 is an abundant number, since it is smaller than the sum of its proper divisors (115488268).

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

64114932 is a wasteful number, since it uses less digits than its factorization.

64114932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 470 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 64114932 is about 8007.1800279499. The cubic root of 64114932 is about 400.2392984787.

The spelling of 64114932 in words is "sixty-four million, one hundred fourteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 343 421 444 518 588 686 777 842 1029 1036 1263 1372 1554 1684 1813 2058 2526 2947 3108 3626 4116 5052 5439 5894 7252 8841 10878 11788 12691 15577 17682 20629 21756 25382 31154 35364 38073 41258 46731 50764 61887 62308 76146 82516 93462 109039 123774 144403 152292 186924 218078 247548 288806 327117 433209 436156 577612 654234 763273 866418 1308468 1526546 1732836 2289819 3053092 4579638 5342911 9159276 10685822 16028733 21371644 32057466 64114932