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157282431 = 3173303049
BaseRepresentation
bin10010101111111…
…11000001111111
3101221221202221020
421113333001333
5310231014211
623335035223
73616610235
oct1127770177
9357852836
10157282431
1180866689
124480bb13
132677b837
1416c62955
15dc1c306
hex95ff07f

157282431 has 8 divisors (see below), whose sum is σ = 210922800. Its totient is φ = 104248512.

The previous prime is 157282423. The next prime is 157282451. The reversal of 157282431 is 134282751.

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

It is not a de Polignac number, because 157282431 - 23 = 157282423 is a prime.

It is a super-2 number, since 2×1572824312 = 49475526202539522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 157282392 and 157282401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157282421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151006 + ... + 152043.

It is an arithmetic number, because the mean of its divisors is an integer number (26365350).

Almost surely, 2157282431 is an apocalyptic number.

157282431 is a deficient number, since it is larger than the sum of its proper divisors (53640369).

157282431 is a wasteful number, since it uses less digits than its factorization.

157282431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303225.

The product of its digits is 13440, while the sum is 33.

The square root of 157282431 is about 12541.2292459711. The cubic root of 157282431 is about 539.7923653032.

The spelling of 157282431 in words is "one hundred fifty-seven million, two hundred eighty-two thousand, four hundred thirty-one".

Divisors: 1 3 173 519 303049 909147 52427477 157282431