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502295431 = 111931971201
BaseRepresentation
bin11101111100000…
…110101110000111
31022000011020210111
4131330012232013
52012041423211
6121501533451
715306304111
oct3574065607
91260136714
10502295431
11238594aa0
12120274287
13800a9b41
144a9d23b1
152e16d421
hex1df06b87

502295431 has 16 divisors (see below), whose sum is σ = 554054688. Its totient is φ = 451584000.

The previous prime is 502295401. The next prime is 502295471. The reversal of 502295431 is 134592205.

It is a 13-Lehmer number, since φ(502295431) divides (502295431-1)13.

It is a cyclic number.

It is not a de Polignac number, because 502295431 - 211 = 502293383 is a prime.

It is a super-2 number, since 2×5022954312 = 504601400006951522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 502295393 and 502295402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502295401) 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 15 ways as a sum of consecutive naturals, for example, 417631 + ... + 418831.

It is an arithmetic number, because the mean of its divisors is an integer number (34628418).

Almost surely, 2502295431 is an apocalyptic number.

502295431 is a deficient number, since it is larger than the sum of its proper divisors (51759257).

502295431 is a wasteful number, since it uses less digits than its factorization.

502295431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 502295431 is about 22411.9483981201. The cubic root of 502295431 is about 794.9132619000.

The spelling of 502295431 in words is "five hundred two million, two hundred ninety-five thousand, four hundred thirty-one".

Divisors: 1 11 193 197 1201 2123 2167 13211 38021 231793 236597 418231 2549723 2602567 45663221 502295431