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442121244 = 223172167261
BaseRepresentation
bin11010010110100…
…011110000011100
31010210221002022220
4122112203300130
51401140334434
6111512105340
713645653135
oct3226436034
91123832286
10442121244
11207625264
12104095250
137079b806
1442a0ac8c
1528c33d49
hex1a5a3c1c

442121244 has 24 divisors (see below), whose sum is σ = 1092300048. Its totient is φ = 138704640.

The previous prime is 442121237. The next prime is 442121257.

442121244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4421212442 = 390942388792215072, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083427 + ... + 1083834.

It is an arithmetic number, because the mean of its divisors is an integer number (45512502).

Almost surely, 2442121244 is an apocalyptic number.

It is an amenable number.

442121244 is an abundant number, since it is smaller than the sum of its proper divisors (650178804).

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

442121244 is a wasteful number, since it uses less digits than its factorization.

442121244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167285 (or 2167283 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 442121244 is about 21026.6793384024. The cubic root of 442121244 is about 761.8108044283.

The spelling of 442121244 in words is "four hundred forty-two million, one hundred twenty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 2167261 4334522 6501783 8669044 13003566 26007132 36843437 73686874 110530311 147373748 221060622 442121244