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857491712 = 28711411061
BaseRepresentation
bin110011000111000…
…100100100000000
32012202112002111022
4303013010210000
53224004213322
6221031005012
730151362560
oct6307044400
92182462438
10857491712
11400039240
121bb209768
1310886225c
1481c52da0
1550431942
hex331c4900

857491712 has 144 divisors (see below), whose sum is σ = 2188093824. Its totient is φ = 325632000.

The previous prime is 857491711. The next prime is 857491741. The reversal of 857491712 is 217194758.

It is a super-2 number, since 2×8574917122 = 1470584072297381888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857491711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807662 + ... + 808722.

It is an arithmetic number, because the mean of its divisors is an integer number (15195096).

Almost surely, 2857491712 is an apocalyptic number.

857491712 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857491712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094046912).

857491712 is an abundant number, since it is smaller than the sum of its proper divisors (1330602112).

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

857491712 is a wasteful number, since it uses less digits than its factorization.

857491712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1122 counting only the distinct ones).

The product of its digits is 141120, while the sum is 44.

The square root of 857491712 is about 29282.9594132834. The cubic root of 857491712 is about 950.0431049693.

The spelling of 857491712 in words is "eight hundred fifty-seven million, four hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 64 77 82 88 112 128 154 164 176 224 256 287 308 328 352 448 451 574 616 656 704 896 902 1061 1148 1232 1312 1408 1792 1804 2122 2296 2464 2624 2816 3157 3608 4244 4592 4928 5248 6314 7216 7427 8488 9184 9856 10496 11671 12628 14432 14854 16976 18368 19712 23342 25256 28864 29708 33952 36736 43501 46684 50512 57728 59416 67904 73472 81697 87002 93368 101024 115456 118832 135808 163394 174004 186736 202048 237664 271616 304507 326788 348008 373472 404096 475328 478511 609014 653576 696016 746944 808192 950656 957022 1218028 1307152 1392032 1493888 1901312 1914044 2436056 2614304 2784064 2987776 3349577 3828088 4872112 5228608 5568128 6699154 7656176 9744224 10457216 11136256 13398308 15312352 19488448 20914432 26796616 30624704 38976896 53593232 61249408 77953792 107186464 122498816 214372928 428745856 857491712