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712896 = 2634779
BaseRepresentation
bin10101110000011000000
31100012220120
42232003000
5140303041
623140240
76026262
oct2560300
91305816
10712896
11447678
122a4680
131bc642
14147b32
15e1366
hexae0c0

712896 has 56 divisors (see below), whose sum is σ = 1950720. Its totient is φ = 229632.

The previous prime is 712891. The next prime is 712909. The reversal of 712896 is 698217.

712896 is nontrivially palindromic in base 5.

It is not an unprimeable number, because it can be changed into a prime (712891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8985 + ... + 9063.

2712896 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 712896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975360).

712896 is an abundant number, since it is smaller than the sum of its proper divisors (1237824).

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

712896 is a wasteful number, since it uses less digits than its factorization.

712896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 712896 is about 844.3316883784. The cubic root of 712896 is about 89.3323432479.

The spelling of 712896 in words is "seven hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 79 94 96 141 158 188 192 237 282 316 376 474 564 632 752 948 1128 1264 1504 1896 2256 2528 3008 3713 3792 4512 5056 7426 7584 9024 11139 14852 15168 22278 29704 44556 59408 89112 118816 178224 237632 356448 712896