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427002192 = 24341719381
BaseRepresentation
bin11001011100111…
…000100101010000
31002202110221220000
4121130320211100
51333303032232
6110212050000
713403313231
oct3134704520
91082427800
10427002192
111aa039081
12bb003900
136a606c26
14409d3088
152774927c
hex19738950

427002192 has 100 divisors (see below), whose sum is σ = 1308633876. Its totient is φ = 133954560.

The previous prime is 427002187. The next prime is 427002193. The reversal of 427002192 is 291200724.

It can be written as a sum of positive squares in 2 ways, for example, as 331822656 + 95179536 = 18216^2 + 9756^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427002193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12342 + ... + 31722.

Almost surely, 2427002192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427002192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654316938).

427002192 is an abundant number, since it is smaller than the sum of its proper divisors (881631684).

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

427002192 is a wasteful number, since it uses less digits than its factorization.

427002192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19418 (or 19403 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 427002192 is about 20664.0313588612. The cubic root of 427002192 is about 753.0261097913.

The spelling of 427002192 in words is "four hundred twenty-seven million, two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 5508 7344 11016 19381 22032 38762 58143 77524 116286 155048 174429 232572 310096 329477 348858 465144 523287 658954 697716 930288 988431 1046574 1317908 1395432 1569861 1976862 2093148 2635816 2790864 2965293 3139722 3953724 4186296 5271632 5930586 6279444 7907448 8372592 8895879 11861172 12558888 15814896 17791758 23722344 25117776 26687637 35583516 47444688 53375274 71167032 106750548 142334064 213501096 427002192