Search a number
-
+
857475944 = 231329401709
BaseRepresentation
bin110011000111000…
…000101101101000
32012202111021212022
4303013000231220
53224003212234
6221030404012
730151265603
oct6307005550
92182437768
10857475944
11400028406
121bb200608
13108858020
1481c4b33a
155042be2e
hex331c0b68

857475944 has 64 divisors (see below), whose sum is σ = 1798146000. Its totient is φ = 380620800.

The previous prime is 857475919. The next prime is 857475991. The reversal of 857475944 is 449574758.

It can be written as a sum of positive squares in 8 ways, for example, as 389272900 + 468203044 = 19730^2 + 21638^2 .

It is a super-2 number, since 2×8574759442 = 1470529989077382272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209062 + ... + 1209770.

Almost surely, 2857475944 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 857475944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899073000).

857475944 is an abundant number, since it is smaller than the sum of its proper divisors (940670056).

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

857475944 is a wasteful number, since it uses less digits than its factorization.

857475944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1154 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 53.

The square root of 857475944 is about 29282.6901769629. The cubic root of 857475944 is about 950.0372816394.

The spelling of 857475944 in words is "eight hundred fifty-seven million, four hundred seventy-five thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 401 709 754 802 1418 1508 1604 2836 3016 3208 5213 5672 9217 10426 11629 18434 20561 20852 23258 36868 41122 41704 46516 73736 82244 93032 151177 164488 267293 284309 302354 534586 568618 604708 1069172 1137236 1209416 2138344 2274472 3696017 7392034 8244961 14784068 16489922 29568136 32979844 65959688 107184493 214368986 428737972 857475944