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642292 = 227229113
BaseRepresentation
bin10011100110011110100
31012122001121
42130303310
5131023132
621433324
75313400
oct2346364
91178047
10642292
113a9622
1226b844
13196471
1412a100
15ca497
hex9ccf4

642292 has 36 divisors (see below), whose sum is σ = 1364580. Its totient is φ = 263424.

The previous prime is 642281. The next prime is 642359. The reversal of 642292 is 292246.

It can be written as a sum of positive squares in 2 ways, for example, as 132496 + 509796 = 364^2 + 714^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5628 + ... + 5740.

It is an arithmetic number, because the mean of its divisors is an integer number (37905).

2642292 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 642292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682290).

642292 is an abundant number, since it is smaller than the sum of its proper divisors (722288).

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

642292 is a wasteful number, since it uses less digits than its factorization.

642292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 642292 is about 801.4312197563. The cubic root of 642292 is about 86.2801392953.

The spelling of 642292 in words is "six hundred forty-two thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 28 29 49 58 98 113 116 196 203 226 406 452 791 812 1421 1582 2842 3164 3277 5537 5684 6554 11074 13108 22148 22939 45878 91756 160573 321146 642292