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431252405 = 5192238921
BaseRepresentation
bin11001101101000…
…110001110110101
31010001110220002022
4121231012032311
51340400034110
6110443122525
713454404433
oct3155061665
91101426068
10431252405
11201481351
12100513445
136b46464c
14413bbd53
1527cd8755
hex19b463b5

431252405 has 12 divisors (see below), whose sum is σ = 546175692. Its totient is φ = 326842560.

The previous prime is 431252399. The next prime is 431252411. The reversal of 431252405 is 504252134.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (431252399) and next prime (431252411).

It can be written as a sum of positive squares in 2 ways, for example, as 50495236 + 380757169 = 7106^2 + 19513^2 .

It is not a de Polignac number, because 431252405 - 212 = 431248309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117656 + ... + 121265.

It is an arithmetic number, because the mean of its divisors is an integer number (45514641).

Almost surely, 2431252405 is an apocalyptic number.

It is an amenable number.

431252405 is a deficient number, since it is larger than the sum of its proper divisors (114923287).

431252405 is a wasteful number, since it uses less digits than its factorization.

431252405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238964 (or 238945 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 431252405 is about 20766.6175628098. The cubic root of 431252405 is about 755.5163083908.

The spelling of 431252405 in words is "four hundred thirty-one million, two hundred fifty-two thousand, four hundred five".

Divisors: 1 5 19 95 361 1805 238921 1194605 4539499 22697495 86250481 431252405