Search a number
-
+
152636224 = 2613383479
BaseRepresentation
bin10010001100100…
…00101101000000
3101122012201112111
421012100231000
5303033324344
623051305104
73532246366
oct1106205500
9348181474
10152636224
1179182944
124314b194
1325812ac0
14163b3636
15d600834
hex9190b40

152636224 has 56 divisors (see below), whose sum is σ = 327720960. Its totient is φ = 70116864.

The previous prime is 152636207. The next prime is 152636227. The reversal of 152636224 is 422636251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152636227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318417 + ... + 318895.

It is an arithmetic number, because the mean of its divisors is an integer number (5852160).

Almost surely, 2152636224 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 152636224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163860480).

152636224 is an abundant number, since it is smaller than the sum of its proper divisors (175084736).

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

152636224 is a wasteful number, since it uses less digits than its factorization.

152636224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 877 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 152636224 is about 12354.6033525970. The cubic root of 152636224 is about 534.4238990352.

The spelling of 152636224 in words is "one hundred fifty-two million, six hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 383 416 479 766 832 958 1532 1916 3064 3832 4979 6128 6227 7664 9958 12256 12454 15328 19916 24512 24908 30656 39832 49816 79664 99632 159328 183457 199264 318656 366914 398528 733828 1467656 2384941 2935312 4769882 5870624 9539764 11741248 19079528 38159056 76318112 152636224