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152317431 = 32722315017
BaseRepresentation
bin10010001010000…
…10110111110111
3101121121112020100
421011002313313
5302443124211
623040405143
73526451100
oct1105026767
9347545210
10152317431
1178a85382
12430167b3
1325730976
141632d3a7
15d58b156
hex9142df7

152317431 has 36 divisors (see below), whose sum is σ = 267080112. Its totient is φ = 83248704.

The previous prime is 152317423. The next prime is 152317439. The reversal of 152317431 is 134713251.

It is an interprime number because it is at equal distance from previous prime (152317423) and next prime (152317439).

It is not a de Polignac number, because 152317431 - 23 = 152317423 is a prime.

It is a super-2 number, since 2×1523174312 = 46401199572879522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152317395 and 152317404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152317439) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2635 + ... + 17651.

It is an arithmetic number, because the mean of its divisors is an integer number (7418892).

Almost surely, 2152317431 is an apocalyptic number.

152317431 is a deficient number, since it is larger than the sum of its proper divisors (114762681).

152317431 is a wasteful number, since it uses less digits than its factorization.

152317431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15060 (or 15050 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 152317431 is about 12341.6948187840. The cubic root of 152317431 is about 534.0515773100.

The spelling of 152317431 in words is "one hundred fifty-two million, three hundred seventeen thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 441 483 1127 1449 3381 10143 15017 45051 105119 135153 315357 345391 735833 946071 1036173 2207499 2417737 3108519 6622497 7253211 16924159 21759633 50772477 152317431