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282113088 = 26311313003
BaseRepresentation
bin10000110100001…
…011010001000000
3201122211211101220
4100310023101000
51034210104323
643554355040
76663631065
oct2064132100
9648754356
10282113088
11135277814
127a58ba80
13465a742a
1429678c6c
1519b790e3
hex10d0b440

282113088 has 56 divisors (see below), whose sum is σ = 753087648. Its totient is φ = 93198336.

The previous prime is 282113071. The next prime is 282113089. The reversal of 282113088 is 880311282.

It is not an unprimeable number, because it can be changed into a prime (282113089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15195 + ... + 28197.

Almost surely, 2282113088 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 282113088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376543824).

282113088 is an abundant number, since it is smaller than the sum of its proper divisors (470974560).

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

282113088 is a wasteful number, since it uses less digits than its factorization.

282113088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13131 (or 13121 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 282113088 is about 16796.2224324400. Note that the first 3 decimals coincide. The cubic root of 282113088 is about 655.8548657709.

It can be divided in two parts, 28211308 and 8, that added together give a triangular number (28211316 = T7511).

The spelling of 282113088 in words is "two hundred eighty-two million, one hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2712 3616 5424 7232 10848 13003 21696 26006 39009 52012 78018 104024 156036 208048 312072 416096 624144 832192 1248288 1469339 2496576 2938678 4408017 5877356 8816034 11754712 17632068 23509424 35264136 47018848 70528272 94037696 141056544 282113088