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158733856 = 252329377
BaseRepresentation
bin10010111011000…
…01011000100000
3102001200111220201
421131201120200
5311113440411
623430114544
73635133631
oct1135413040
9361614821
10158733856
1181668106
12451aba54
1326b69378
141711d888
15de073c1
hex9761620

158733856 has 36 divisors (see below), whose sum is σ = 326720142. Its totient is φ = 75908096.

The previous prime is 158733829. The next prime is 158733859. The reversal of 158733856 is 658337851.

It can be written as a sum of positive squares in only one way, i.e., 154256400 + 4477456 = 12420^2 + 2116^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (158733859) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 12240 + ... + 21616.

Almost surely, 2158733856 is an apocalyptic number.

158733856 is a gapful number since it is divisible by the number (16) 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 158733856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163360071).

158733856 is an abundant number, since it is smaller than the sum of its proper divisors (167986286).

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

158733856 is an equidigital number, since it uses as much as digits as its factorization.

158733856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9433 (or 9402 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The square root of 158733856 is about 12598.9624969678. The cubic root of 158733856 is about 541.4477110889.

The spelling of 158733856 in words is "one hundred fifty-eight million, seven hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 4232 8464 9377 16928 18754 37508 75016 150032 215671 300064 431342 862684 1725368 3450736 4960433 6901472 9920866 19841732 39683464 79366928 158733856