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857940984 = 23346612003
BaseRepresentation
bin110011001000110…
…010001111111000
32012210100220210000
4303020302033320
53224113102414
6221044353000
730155243445
oct6310621770
92183326700
10857940984
1140031583a
121bb3a5760
1310898b8b4
1481d2c9cc
15504beb09
hex332323f8

857940984 has 80 divisors (see below), whose sum is σ = 2407866120. Its totient is φ = 285405120.

The previous prime is 857940977. The next prime is 857940997. The reversal of 857940984 is 489049758.

857940984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 857940984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 427327 + ... + 429329.

Almost surely, 2857940984 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 857940984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203933060).

857940984 is an abundant number, since it is smaller than the sum of its proper divisors (1549925136).

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

857940984 is a wasteful number, since it uses less digits than its factorization.

857940984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 857940984 is about 29290.6296279203. The cubic root of 857940984 is about 950.2089970466.

The spelling of 857940984 in words is "eight hundred fifty-seven million, nine hundred forty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 661 1322 1983 2003 2644 3966 4006 5288 5949 6009 7932 8012 11898 12018 15864 16024 17847 18027 23796 24036 35694 36054 47592 48072 53541 54081 71388 72108 107082 108162 142776 144216 162243 214164 216324 324486 428328 432648 648972 1297944 1323983 2647966 3971949 5295932 7943898 10591864 11915847 15887796 23831694 31775592 35747541 47663388 71495082 95326776 107242623 142990164 214485246 285980328 428970492 857940984