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852768 = 2534747
BaseRepresentation
bin11010000001100100000
31121022210000
43100030200
5204242033
630140000
710151130
oct3201440
91538700
10852768
11532774
12351600
1323b1c7
14182ac0
1511ca13
hexd0320

852768 has 120 divisors (see below), whose sum is σ = 2927232. Its totient is φ = 238464.

The previous prime is 852763. The next prime is 852769. The reversal of 852768 is 867258.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852763) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18121 + ... + 18167.

2852768 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 852768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463616).

852768 is an abundant number, since it is smaller than the sum of its proper divisors (2074464).

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

852768 is a wasteful number, since it uses less digits than its factorization.

852768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 852768 is about 923.4543843634. The cubic root of 852768 is about 94.8295373430.

The spelling of 852768 in words is "eight hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 47 48 54 56 63 72 81 84 94 96 108 112 126 141 144 162 168 188 189 216 224 252 282 288 324 329 336 376 378 423 432 504 564 567 648 658 672 752 756 846 864 987 1008 1128 1134 1269 1296 1316 1504 1512 1692 1974 2016 2256 2268 2538 2592 2632 2961 3024 3384 3807 3948 4512 4536 5076 5264 5922 6048 6768 7614 7896 8883 9072 10152 10528 11844 13536 15228 15792 17766 18144 20304 23688 26649 30456 31584 35532 40608 47376 53298 60912 71064 94752 106596 121824 142128 213192 284256 426384 852768