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427772202 = 231113796311
BaseRepresentation
bin11001011111110…
…100100100101010
31002210221002010220
4121133310210222
51334002202302
6110240350510
713413001164
oct3137644452
91083832126
10427772202
111aa514650
12bb315436
136a816560
1440b53934
152784c4bc
hex197f492a

427772202 has 64 divisors (see below), whose sum is σ = 1017999360. Its totient is φ = 118123200.

The previous prime is 427772183. The next prime is 427772209. The reversal of 427772202 is 202277724.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (427772209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64627 + ... + 70937.

It is an arithmetic number, because the mean of its divisors is an integer number (15906240).

Almost surely, 2427772202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427772202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508999680).

427772202 is an abundant number, since it is smaller than the sum of its proper divisors (590227158).

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

427772202 is a wasteful number, since it uses less digits than its factorization.

427772202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6419.

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 427772202 is about 20682.6546168523. The cubic root of 427772202 is about 753.4784801814.

The spelling of 427772202 in words is "four hundred twenty-seven million, seven hundred seventy-two thousand, two hundred two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 79 143 158 237 286 429 474 858 869 1027 1738 2054 2607 3081 5214 6162 6311 11297 12622 18933 22594 33891 37866 67782 69421 82043 138842 164086 208263 246129 416526 492258 498569 902473 997138 1495707 1804946 2707419 2991414 5414838 5484259 6481397 10968518 12962794 16452777 19444191 32905554 38888382 71295367 142590734 213886101 427772202