Search a number
-
+
64556632 = 2373141907
BaseRepresentation
bin1111011001000…
…0111001011000
311111110211001101
43312100321120
5113011303012
610223401144
71412502520
oct366207130
9144424041
1064556632
1133493398
12197531b4
13104b3cba
148806680
155a02d57
hex3d90e58

64556632 has 64 divisors (see below), whose sum is σ = 146442240. Its totient is φ = 26092800.

The previous prime is 64556629. The next prime is 64556641. The reversal of 64556632 is 23665546.

64556632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 64556591 and 64556600.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 70723 + ... + 71629.

It is an arithmetic number, because the mean of its divisors is an integer number (2288160).

Almost surely, 264556632 is an apocalyptic number.

64556632 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 64556632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73221120).

64556632 is an abundant number, since it is smaller than the sum of its proper divisors (81885608).

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

64556632 is a wasteful number, since it uses less digits than its factorization.

64556632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 988 counting only the distinct ones).

The product of its digits is 129600, while the sum is 37.

The square root of 64556632 is about 8034.7141828443. The cubic root of 64556632 is about 401.1563041807.

The spelling of 64556632 in words is "sixty-four million, five hundred fifty-six thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 31 41 56 62 82 124 164 217 248 287 328 434 574 868 907 1148 1271 1736 1814 2296 2542 3628 5084 6349 7256 8897 10168 12698 17794 25396 28117 35588 37187 50792 56234 71176 74374 112468 148748 196819 224936 260309 297496 393638 520618 787276 1041236 1152797 1574552 2082472 2305594 4611188 8069579 9222376 16139158 32278316 64556632