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152616431 = 1123603227
BaseRepresentation
bin10010001100010…
…11110111101111
3101122011201101102
421012023313233
5303032211211
623051033315
73532134602
oct1106136757
9348151342
10152616431
1179169a90
124313b83b
1325806aa6
14163aa339
15d5e9a3b
hex918bdef

152616431 has 8 divisors (see below), whose sum is σ = 173729664. Its totient is φ = 132709720.

The previous prime is 152616389. The next prime is 152616433. The reversal of 152616431 is 134616251.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 152616431 - 26 = 152616367 is a prime.

It is a super-2 number, since 2×1526164312 = 46583550022355522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 152616394 and 152616403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152616433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301361 + ... + 301866.

It is an arithmetic number, because the mean of its divisors is an integer number (21716208).

Almost surely, 2152616431 is an apocalyptic number.

152616431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152616431 is a deficient number, since it is larger than the sum of its proper divisors (21113233).

152616431 is a wasteful number, since it uses less digits than its factorization.

152616431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603261.

The product of its digits is 4320, while the sum is 29.

The square root of 152616431 is about 12353.8022891740. The cubic root of 152616431 is about 534.4007976830.

The spelling of 152616431 in words is "one hundred fifty-two million, six hundred sixteen thousand, four hundred thirty-one".

Divisors: 1 11 23 253 603227 6635497 13874221 152616431