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202379873 = 3121971069
BaseRepresentation
bin11000001000000…
…01001001100001
3112002210221222212
430010001021201
5403302123443
632025411505
75005125533
oct1404011141
9462727885
10202379873
11a4268aa3
1257939b95
1332c0b607
141cc41853
1512b79618
hexc101261

202379873 has 12 divisors (see below), whose sum is σ = 210376980. Its totient is φ = 194675040.

The previous prime is 202379869. The next prime is 202379923. The reversal of 202379873 is 378973202.

It can be written as a sum of positive squares in 2 ways, for example, as 159188689 + 43191184 = 12617^2 + 6572^2 .

It is not a de Polignac number, because 202379873 - 22 = 202379869 is a prime.

It is a super-2 number, since 2×2023798732 = 81915225990992258, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202379873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202379833) 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, 188783 + ... + 189851.

It is an arithmetic number, because the mean of its divisors is an integer number (17531415).

Almost surely, 2202379873 is an apocalyptic number.

It is an amenable number.

202379873 is a deficient number, since it is larger than the sum of its proper divisors (7997107).

202379873 is a wasteful number, since it uses less digits than its factorization.

202379873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 202379873 is about 14226.0280120630. The cubic root of 202379873 is about 587.1140043657.

The spelling of 202379873 in words is "two hundred two million, three hundred seventy-nine thousand, eight hundred seventy-three".

Divisors: 1 31 197 961 1069 6107 33139 189317 210593 1027309 6528383 202379873