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992256 = 21031719
BaseRepresentation
bin11110010010000000000
31212102010020
43302100000
5223223011
633133440
711301606
oct3622000
91772106
10992256
11618551
123ba280
13289845
141bb876
15149006
hexf2400

992256 has 88 divisors (see below), whose sum is σ = 2947680. Its totient is φ = 294912.

The previous prime is 992249. The next prime is 992263. The reversal of 992256 is 652299.

992256 = T323 + T324 + ... + T340.

It is an interprime number because it is at equal distance from previous prime (992249) and next prime (992263).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 992256.

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, 52215 + ... + 52233.

992256 is a Friedman number, since it can be written as 969*(2+2)^5, using all its digits and the basic arithmetic operations.

2992256 is an apocalyptic number.

992256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473840).

992256 is an abundant number, since it is smaller than the sum of its proper divisors (1955424).

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

992256 is a wasteful number, since it uses less digits than its factorization.

992256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 41 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 992256 is about 996.1204746415. The cubic root of 992256 is about 99.7411974569.

The spelling of 992256 in words is "nine hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 228 256 272 304 323 384 408 456 512 544 608 646 768 816 912 969 1024 1088 1216 1292 1536 1632 1824 1938 2176 2432 2584 3072 3264 3648 3876 4352 4864 5168 6528 7296 7752 8704 9728 10336 13056 14592 15504 17408 19456 20672 26112 29184 31008 41344 52224 58368 62016 82688 124032 165376 248064 330752 496128 992256