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442742292 = 223217371089
BaseRepresentation
bin11010011000111…
…011011000010100
31010212002122020200
4122120323120110
51401320223132
6111533300500
713654150566
oct3230733024
91125078220
10442742292
11207a09923
12104334730
13709583b5
1442b2d336
1528d07d7c
hex1a63b614

442742292 has 36 divisors (see below), whose sum is σ = 1125639060. Its totient is φ = 146725632.

The previous prime is 442742291. The next prime is 442742309. The reversal of 442742292 is 292247244.

442742292 is a `hidden beast` number, since 4 + 427 + 4 + 229 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 162715536 + 280026756 = 12756^2 + 16734^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442742291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29317 + ... + 41772.

Almost surely, 2442742292 is an apocalyptic number.

It is an amenable number.

442742292 is an abundant number, since it is smaller than the sum of its proper divisors (682896768).

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

442742292 is a wasteful number, since it uses less digits than its factorization.

442742292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71272 (or 71267 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 442742292 is about 21041.4422509485. The cubic root of 442742292 is about 762.1673429152.

It can be divided in two parts, 44 and 2742292, that added together give a square (2742336 = 16562).

The spelling of 442742292 in words is "four hundred forty-two million, seven hundred forty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 71089 142178 213267 284356 426534 639801 853068 1279602 2559204 12298397 24596794 36895191 49193588 73790382 110685573 147580764 221371146 442742292