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896272 = 241331139
BaseRepresentation
bin11011010110100010000
31200112110021
43122310100
5212140042
631113224
710422016
oct3326420
91615407
10896272
11562423
12372814
13254c50
141948b6
1512a867
hexdad10

896272 has 40 divisors (see below), whose sum is σ = 1944320. Its totient is φ = 397440.

The previous prime is 896263. The next prime is 896281. The reversal of 896272 is 272698.

896272 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (896263) and next prime (896281).

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, 6379 + ... + 6517.

It is an arithmetic number, because the mean of its divisors is an integer number (48608).

2896272 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 896272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972160).

896272 is an abundant number, since it is smaller than the sum of its proper divisors (1048048).

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

896272 is a wasteful number, since it uses less digits than its factorization.

896272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 896272 is about 946.7164306169. The cubic root of 896272 is about 96.4154449178.

The spelling of 896272 in words is "eight hundred ninety-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 139 208 248 278 403 496 556 806 1112 1612 1807 2224 3224 3614 4309 6448 7228 8618 14456 17236 28912 34472 56017 68944 112034 224068 448136 896272