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152608393 = 7210928573
BaseRepresentation
bin10010001100010…
…01111010001001
3101122011022100201
421012021322021
5303031432033
623050532201
73532102300
oct1106117211
9348138321
10152608393
1179163a43
1243137061
1325803232
14163a7437
15d5e747d
hex9189e89

152608393 has 12 divisors (see below), whose sum is σ = 179158980. Its totient is φ = 129602592.

The previous prime is 152608373. The next prime is 152608433. The reversal of 152608393 is 393806251.

It can be written as a sum of positive squares in 2 ways, for example, as 37002889 + 115605504 = 6083^2 + 10752^2 .

It is a de Polignac number, because none of the positive numbers 2k-152608393 is a prime.

It is a super-2 number, since 2×1526083932 = 46578643228084898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152608343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8946 + ... + 19627.

It is an arithmetic number, because the mean of its divisors is an integer number (14929915).

Almost surely, 2152608393 is an apocalyptic number.

It is an amenable number.

152608393 is a deficient number, since it is larger than the sum of its proper divisors (26550587).

152608393 is a wasteful number, since it uses less digits than its factorization.

152608393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28696 (or 28689 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 152608393 is about 12353.4769599494. The cubic root of 152608393 is about 534.3914155804.

It can be divided in two parts, 15260 and 8393, that added together give a triangular number (23653 = T217).

The spelling of 152608393 in words is "one hundred fifty-two million, six hundred eight thousand, three hundred ninety-three".

Divisors: 1 7 49 109 763 5341 28573 200011 1400077 3114457 21801199 152608393