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861049944 = 233271389433
BaseRepresentation
bin110011010100101…
…001010001011000
32020000012212110200
4303110221101120
53230412044234
6221235142200
730223542456
oct6324512130
92200185420
10861049944
11402049627
12200444960
13109509a11
14824db9d6
15508d5d99
hex33529458

861049944 has 96 divisors (see below), whose sum is σ = 2376410400. Its totient is φ = 281594880.

The previous prime is 861049939. The next prime is 861049951. The reversal of 861049944 is 449940168.

It is a self number, because there is not a number n which added to its sum of digits gives 861049944.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1988352 + ... + 1988784.

It is an arithmetic number, because the mean of its divisors is an integer number (24754275).

Almost surely, 2861049944 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 861049944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188205200).

861049944 is an abundant number, since it is smaller than the sum of its proper divisors (1515360456).

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

861049944 is a wasteful number, since it uses less digits than its factorization.

861049944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 861049944 is about 29343.6525333845. The cubic root of 861049944 is about 951.3553853599.

The spelling of 861049944 in words is "eight hundred sixty-one million, forty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 389 426 433 568 639 778 852 866 1167 1278 1299 1556 1704 1732 2334 2556 2598 3112 3464 3501 3897 4668 5112 5196 7002 7794 9336 10392 14004 15588 27619 28008 30743 31176 55238 61486 82857 92229 110476 122972 165714 168437 184458 220952 245944 248571 276687 331428 336874 368916 497142 505311 553374 662856 673748 737832 994284 1010622 1106748 1347496 1515933 1988568 2021244 2213496 3031866 4042488 6063732 11959027 12127464 23918054 35877081 47836108 71754162 95672216 107631243 143508324 215262486 287016648 430524972 861049944