Search a number
-
+
64250352 = 24323137389
BaseRepresentation
bin1111010100011…
…0000111110000
311110220020220200
43311012013300
5112422002402
610213035200
71410055545
oct365060760
9143806820
1064250352
11332a4271
1219625b00
131040777a
148766bcc
15599221c
hex3d461f0

64250352 has 120 divisors (see below), whose sum is σ = 191118720. Its totient is φ = 20113920.

The previous prime is 64250317. The next prime is 64250353. The reversal of 64250352 is 25305246.

64250352 is a `hidden beast` number, since 64 + 250 + 352 = 666.

64250352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64250353) 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 23 ways as a sum of consecutive naturals, for example, 164974 + ... + 165362.

It is an arithmetic number, because the mean of its divisors is an integer number (1592656).

Almost surely, 264250352 is an apocalyptic number.

64250352 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 64250352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95559360).

64250352 is an abundant number, since it is smaller than the sum of its proper divisors (126868368).

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

64250352 is a wasteful number, since it uses less digits than its factorization.

64250352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 64250352 is about 8015.6317280674. The cubic root of 64250352 is about 400.5208880613.

Adding to 64250352 its reverse (25305246), we get a palindrome (89555598).

The spelling of 64250352 in words is "sixty-four million, two hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 37 48 62 72 74 93 111 124 144 148 186 222 248 279 296 333 372 389 444 496 558 592 666 744 778 888 1116 1147 1167 1332 1488 1556 1776 2232 2294 2334 2664 3112 3441 3501 4464 4588 4668 5328 6224 6882 7002 9176 9336 10323 12059 13764 14004 14393 18352 18672 20646 24118 27528 28008 28786 36177 41292 43179 48236 55056 56016 57572 72354 82584 86358 96472 108531 115144 129537 144708 165168 172716 192944 217062 230288 259074 289416 345432 434124 446183 518148 578832 690864 868248 892366 1036296 1338549 1736496 1784732 2072592 2677098 3569464 4015647 5354196 7138928 8031294 10708392 16062588 21416784 32125176 64250352