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414852642 = 23237960811
BaseRepresentation
bin11000101110100…
…010011000100010
31001220121200211200
4120232202120202
51322200241032
6105055422030
713165121631
oct3056423042
91056550750
10414852642
111a319aa26
12b6b24916
1367c41b49
143d14d518
152664947c
hex18ba2622

414852642 has 24 divisors (see below), whose sum is σ = 901233840. Its totient is φ = 137917080.

The previous prime is 414852629. The next prime is 414852661. The reversal of 414852642 is 246258414.

414852642 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 5 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 414852597 and 414852606.

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, 23584 + ... + 37227.

It is an arithmetic number, because the mean of its divisors is an integer number (37551410).

Almost surely, 2414852642 is an apocalyptic number.

414852642 is an abundant number, since it is smaller than the sum of its proper divisors (486381198).

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

414852642 is a wasteful number, since it uses less digits than its factorization.

414852642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61198 (or 61195 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 414852642 is about 20367.9317064841. The cubic root of 414852642 is about 745.8152971083.

The spelling of 414852642 in words is "four hundred fourteen million, eight hundred fifty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 379 758 1137 2274 3411 6822 60811 121622 182433 364866 547299 1094598 23047369 46094738 69142107 138284214 207426321 414852642