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851159440 = 24510639493
BaseRepresentation
bin110010101110111…
…010100110010000
32012022121101020201
4302232322212100
53220344100230
6220243144544
730043510255
oct6256724620
92168541221
10851159440
113a750375a
121b9075154
13107455c51
148108542c
154ead05ca
hex32bba990

851159440 has 20 divisors (see below), whose sum is σ = 1978945884. Its totient is φ = 340463744.

The previous prime is 851159401. The next prime is 851159447. The reversal of 851159440 is 44951158.

851159440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 167650704 + 683508736 = 12948^2 + 26144^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×8511594402 = 1448944784602227200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 851159440.

It is not an unprimeable number, because it can be changed into a prime (851159447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5319667 + ... + 5319826.

Almost surely, 2851159440 is an apocalyptic number.

851159440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

851159440 is an abundant number, since it is smaller than the sum of its proper divisors (1127786444).

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

851159440 is a wasteful number, since it uses less digits than its factorization.

851159440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10639506 (or 10639500 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 851159440 is about 29174.6369300459. The cubic root of 851159440 is about 947.6987476506.

The spelling of 851159440 in words is "eight hundred fifty-one million, one hundred fifty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10639493 21278986 42557972 53197465 85115944 106394930 170231888 212789860 425579720 851159440