Search a number
-
+
857153136 = 24379412711
BaseRepresentation
bin110011000101110…
…001111001110000
32012201212220001110
4303011301321300
53223412400021
6221015433320
730145452510
oct6305617160
92181786043
10857153136
113aa927924
121bb085840
13108774108
1481ba5840
15503b6476
hex33171e70

857153136 has 80 divisors (see below), whose sum is σ = 2534266368. Its totient is φ = 244550400.

The previous prime is 857153117. The next prime is 857153149. The reversal of 857153136 is 631351758.

It is a happy number.

857153136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8571531362 = 1469422997109268992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 857153094 and 857153103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314821 + ... + 317531.

Almost surely, 2857153136 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 857153136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267133184).

857153136 is an abundant number, since it is smaller than the sum of its proper divisors (1677113232).

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

857153136 is a wasteful number, since it uses less digits than its factorization.

857153136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3664 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 857153136 is about 29277.1777328348. The cubic root of 857153136 is about 949.9180487017.

The spelling of 857153136 in words is "eight hundred fifty-seven million, one hundred fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 941 1882 2711 2823 3764 5422 5646 6587 7528 8133 10844 11292 13174 15056 16266 18977 19761 21688 22584 26348 32532 37954 39522 43376 45168 52696 56931 65064 75908 79044 105392 113862 130128 151816 158088 227724 303632 316176 455448 910896 2551051 5102102 7653153 10204204 15306306 17857357 20408408 30612612 35714714 40816816 53572071 61225224 71429428 107144142 122450448 142858856 214288284 285717712 428576568 857153136