Search a number
-
+
857052 = 2232719179
BaseRepresentation
bin11010001001111011100
31121112122200
43101033130
5204411202
630211500
710166460
oct3211734
91545580
10857052
11535a09
12353b90
13240141
141844a0
1511de1c
hexd13dc

857052 has 72 divisors (see below), whose sum is σ = 2620800. Its totient is φ = 230688.

The previous prime is 857047. The next prime is 857053. The reversal of 857052 is 250758.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4699 + ... + 4877.

It is an arithmetic number, because the mean of its divisors is an integer number (36400).

2857052 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 857052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310400).

857052 is an abundant number, since it is smaller than the sum of its proper divisors (1763748).

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

857052 is a wasteful number, since it uses less digits than its factorization.

857052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 857052 is about 925.7710300069. The cubic root of 857052 is about 94.9880686770.

The spelling of 857052 in words is "eight hundred fifty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 179 228 252 266 342 358 399 532 537 684 716 798 1074 1197 1253 1596 1611 2148 2394 2506 3222 3401 3759 4788 5012 6444 6802 7518 10203 11277 13604 15036 20406 22554 23807 30609 40812 45108 47614 61218 71421 95228 122436 142842 214263 285684 428526 857052