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414785992 = 231710130197
BaseRepresentation
bin11000101110010…
…010000111001000
31001220111022102011
4120232102013020
51322141122432
6105054145304
713164423415
oct3056220710
91056438364
10414785992
111a3154945
12b6ab2234
1367c1a6ca
143d13310c
1526634847
hex18b921c8

414785992 has 32 divisors (see below), whose sum is σ = 831652920. Its totient is φ = 193254400.

The previous prime is 414785953. The next prime is 414785999. The reversal of 414785992 is 299587414.

It can be written as a sum of positive squares in 4 ways, for example, as 412333636 + 2452356 = 20306^2 + 1566^2 .

It is not an unprimeable number, because it can be changed into a prime (414785999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1363 + ... + 28834.

Almost surely, 2414785992 is an apocalyptic number.

It is an amenable number.

414785992 is an abundant number, since it is smaller than the sum of its proper divisors (416866928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414785992 is a wasteful number, since it uses less digits than its factorization.

414785992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30321 (or 30317 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

The square root of 414785992 is about 20366.2954903438. The cubic root of 414785992 is about 745.7753542091.

The spelling of 414785992 in words is "four hundred fourteen million, seven hundred eighty-five thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 17 34 68 101 136 202 404 808 1717 3434 6868 13736 30197 60394 120788 241576 513349 1026698 2053396 3049897 4106792 6099794 12199588 24399176 51848249 103696498 207392996 414785992