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282007242 = 232118831613
BaseRepresentation
bin10000110011110…
…001011011001010
3201122122110012200
4100303301123022
51034143212432
643552221030
76663010356
oct2063613312
9648573180
10282007242
11135205240
127a53a776
134656b1ba
142964c466
1519b57a7c
hex10cf16ca

282007242 has 48 divisors (see below), whose sum is σ = 667731168. Its totient is φ = 85307040.

The previous prime is 282007241. The next prime is 282007261. The reversal of 282007242 is 242700282.

It is not an unprimeable number, because it can be changed into a prime (282007241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174028 + ... + 175640.

It is an arithmetic number, because the mean of its divisors is an integer number (13911066).

Almost surely, 2282007242 is an apocalyptic number.

282007242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

282007242 is an abundant number, since it is smaller than the sum of its proper divisors (385723926).

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

282007242 is a wasteful number, since it uses less digits than its factorization.

282007242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 282007242 is about 16793.0712497744. The cubic root of 282007242 is about 655.7728321223.

The spelling of 282007242 in words is "two hundred eighty-two million, seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 883 1613 1766 2649 3226 4839 5298 7947 9678 9713 14517 15894 17743 19426 29034 29139 35486 53229 58278 87417 106458 159687 174834 319374 1424279 2848558 4272837 8545674 12818511 15667069 25637022 31334138 47001207 94002414 141003621 282007242