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152839050 = 235271311197
BaseRepresentation
bin10010001110000…
…10001110001010
3101122121000202120
421013002032022
5303111322200
623055512110
73534052620
oct1107021612
9348530676
10152839050
1179301271
1243228636
1325884210
1416427510
15d6409a0
hex91c238a

152839050 has 96 divisors (see below), whose sum is σ = 466553472. Its totient is φ = 32244480.

The previous prime is 152839033. The next prime is 152839051. The reversal of 152839050 is 50938251.

152839050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (152839051) 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 47 ways as a sum of consecutive naturals, for example, 8052 + ... + 19248.

It is an arithmetic number, because the mean of its divisors is an integer number (4859932).

Almost surely, 2152839050 is an apocalyptic number.

152839050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152839050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233276736).

152839050 is an abundant number, since it is smaller than the sum of its proper divisors (313714422).

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

152839050 is a wasteful number, since it uses less digits than its factorization.

152839050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11232 (or 11227 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 152839050 is about 12362.8091467918. The cubic root of 152839050 is about 534.6605119043.

The spelling of 152839050 in words is "one hundred fifty-two million, eight hundred thirty-nine thousand, fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 910 975 1050 1365 1950 2275 2730 4550 6825 11197 13650 22394 33591 55985 67182 78379 111970 145561 156758 167955 235137 279925 291122 335910 391895 436683 470274 559850 727805 783790 839775 873366 1018927 1175685 1455610 1679550 1959475 2037854 2183415 2351370 3056781 3639025 3918950 4366830 5094635 5878425 6113562 7278050 10189270 10917075 11756850 15283905 21834150 25473175 30567810 50946350 76419525 152839050