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420157818 = 232315314207
BaseRepresentation
bin11001000010110…
…001100101111010
31002021121020011200
4121002301211322
51330030022233
6105405235030
713261165623
oct3102614572
91067536150
10420157818
111a6193873
12b8862a76
136907b7c2
143db30a4a
1526d46313
hex190b197a

420157818 has 48 divisors (see below), whose sum is σ = 957505536. Its totient is φ = 132968160.

The previous prime is 420157817. The next prime is 420157819. The reversal of 420157818 is 818751024.

420157818 is a `hidden beast` number, since 420 + 157 + 81 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (420157817) and next prime (420157819).

It is a super-2 number, since 2×4201578182 = 353065184053042248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420157817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22471 + ... + 36677.

It is an arithmetic number, because the mean of its divisors is an integer number (19948032).

Almost surely, 2420157818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420157818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478752768).

420157818 is an abundant number, since it is smaller than the sum of its proper divisors (537347718).

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

420157818 is a wasteful number, since it uses less digits than its factorization.

420157818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14299 (or 14296 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 420157818 is about 20497.7515352294. The cubic root of 420157818 is about 748.9810268854.

The spelling of 420157818 in words is "four hundred twenty million, one hundred fifty-seven thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 31 53 62 93 106 159 186 279 318 477 558 954 1643 3286 4929 9858 14207 14787 28414 29574 42621 85242 127863 255726 440417 752971 880834 1321251 1505942 2258913 2642502 3963753 4517826 6776739 7927506 13553478 23342101 46684202 70026303 140052606 210078909 420157818