Search a number
-
+
153402656 = 25111922937
BaseRepresentation
bin10010010010010…
…11110100100000
3101200122122212212
421021023310200
5303232341111
623115541252
73541621031
oct1111136440
9350578785
10153402656
1179656760
124345a828
1325a20904
1416532a88
15d70298b
hex924bd20

153402656 has 48 divisors (see below), whose sum is σ = 346822560. Its totient is φ = 66055680.

The previous prime is 153402647. The next prime is 153402661. The reversal of 153402656 is 656204351.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4781 + ... + 18156.

It is an arithmetic number, because the mean of its divisors is an integer number (7225470).

Almost surely, 2153402656 is an apocalyptic number.

153402656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

153402656 is an abundant number, since it is smaller than the sum of its proper divisors (193419904).

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

153402656 is a wasteful number, since it uses less digits than its factorization.

153402656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22977 (or 22969 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 153402656 is about 12385.5825862169. The cubic root of 153402656 is about 535.3169066042.

The spelling of 153402656 in words is "one hundred fifty-three million, four hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 3344 6688 22937 45874 91748 183496 252307 366992 435803 504614 733984 871606 1009228 1743212 2018456 3486424 4036912 4793833 6972848 8073824 9587666 13945696 19175332 38350664 76701328 153402656