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857013984 = 253222713109
BaseRepresentation
bin110011000101001…
…111111011100000
32012201121211011200
4303011033323200
53223343421414
6221012441200
730144333021
oct6305177340
92181554150
10857013984
113aa842322
121bb019200
13108725988
1481b6ac48
155038a109
hex3314fee0

857013984 has 72 divisors (see below), whose sum is σ = 2448056520. Its totient is φ = 284391168.

The previous prime is 857013977. The next prime is 857014001. The reversal of 857013984 is 489310758.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58822 + ... + 71930.

It is an arithmetic number, because the mean of its divisors is an integer number (34000785).

Almost surely, 2857013984 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 857013984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224028260).

857013984 is an abundant number, since it is smaller than the sum of its proper divisors (1591042536).

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

857013984 is a wasteful number, since it uses less digits than its factorization.

857013984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13352 (or 13341 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 857013984 is about 29274.8011778048. The cubic root of 857013984 is about 949.8666420377.

The spelling of 857013984 in words is "eight hundred fifty-seven million, thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 227 288 454 681 908 1362 1816 2043 2724 3632 4086 5448 7264 8172 10896 13109 16344 21792 26218 32688 39327 52436 65376 78654 104872 117981 157308 209744 235962 314616 419488 471924 629232 943848 1258464 1887696 2975743 3775392 5951486 8927229 11902972 17854458 23805944 26781687 35708916 47611888 53563374 71417832 95223776 107126748 142835664 214253496 285671328 428506992 857013984