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427429657 = 17109251919
BaseRepresentation
bin11001011110100…
…000111100011001
31002210021200021001
4121132200330121
51333410222112
6110225145001
713410043414
oct3136407431
91083250231
10427429657
111aa300256
12bb18b161
136a726675
1440aa4b7b
15277d0c57
hex197a0f19

427429657 has 16 divisors (see below), whose sum is σ = 459043200. Its totient is φ = 396576000.

The previous prime is 427429621. The next prime is 427429679. The reversal of 427429657 is 756924724.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-427429657 is a prime.

It is a super-2 number, since 2×4274296572 = 365392223366275298, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (427429687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464644 + ... + 465562.

It is an arithmetic number, because the mean of its divisors is an integer number (28690200).

Almost surely, 2427429657 is an apocalyptic number.

It is an amenable number.

427429657 is a deficient number, since it is larger than the sum of its proper divisors (31613543).

427429657 is a wasteful number, since it uses less digits than its factorization.

427429657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296.

The product of its digits is 846720, while the sum is 46.

The square root of 427429657 is about 20674.3719856251. The cubic root of 427429657 is about 753.2773067469.

The spelling of 427429657 in words is "four hundred twenty-seven million, four hundred twenty-nine thousand, six hundred fifty-seven".

Divisors: 1 17 109 251 919 1853 4267 15623 27359 100171 230669 465103 1702907 3921373 25142921 427429657