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152286833 = 17412732
BaseRepresentation
bin10010001001110…
…11011001110001
3101121112222021002
421010323121301
5302441134313
623040011345
73526262636
oct1104733161
9347488232
10152286833
1178a64396
1243000b55
132571ca6a
141632218d
15d582058
hex913b671

152286833 has 18 divisors (see below), whose sum is σ = 167568642. Its totient is φ = 137917440.

The previous prime is 152286829. The next prime is 152286851. The reversal of 152286833 is 338682251.

152286833 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 69422224 + 82864609 = 8332^2 + 9103^2 .

It is not a de Polignac number, because 152286833 - 22 = 152286829 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152286853) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2086085 + ... + 2086157.

It is an arithmetic number, because the mean of its divisors is an integer number (9309369).

Almost surely, 2152286833 is an apocalyptic number.

It is an amenable number.

152286833 is a deficient number, since it is larger than the sum of its proper divisors (15281809).

152286833 is an frugal number, since it uses more digits than its factorization.

152286833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 131 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 152286833 is about 12340.4551374737. The cubic root of 152286833 is about 534.0158142670.

The spelling of 152286833 in words is "one hundred fifty-two million, two hundred eighty-six thousand, eight hundred thirty-three".

Divisors: 1 17 41 73 697 1241 1681 2993 5329 28577 50881 90593 122713 218489 2086121 3714313 8958049 152286833