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2857392264 = 233319833907
BaseRepresentation
bin1010101001010000…
…0101100010001000
321101010200120022010
42222110011202020
521322443023024
61151311455520
7130544301456
oct25224054210
97333616263
102857392264
111236a18111
12678b275a0
13366ca326c
141d16c39d6
1511acc4b29
hexaa505888

2857392264 has 64 divisors (see below), whose sum is σ = 7383306240. Its totient is φ = 920566080.

The previous prime is 2857392257. The next prime is 2857392287. The reversal of 2857392264 is 4622937582.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729399 + ... + 733305.

It is an arithmetic number, because the mean of its divisors is an integer number (115364160).

Almost surely, 22857392264 is an apocalyptic number.

2857392264 is a gapful number since it is divisible by the number (24) 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 2857392264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691653120).

2857392264 is an abundant number, since it is smaller than the sum of its proper divisors (4525913976).

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

2857392264 is a wasteful number, since it uses less digits than its factorization.

2857392264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4926 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 2857392264 is about 53454.5813190974. The cubic root of 2857392264 is about 1419.0246995916.

The spelling of 2857392264 in words is "two billion, eight hundred fifty-seven million, three hundred ninety-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 983 1966 2949 3907 3932 5898 7814 7864 11721 11796 15628 23442 23592 30473 31256 46884 60946 91419 93768 121117 121892 182838 242234 243784 363351 365676 484468 726702 731352 968936 1453404 2906808 3840581 7681162 11521743 15362324 23043486 30724648 46086972 92173944 119058011 238116022 357174033 476232044 714348066 952464088 1428696132 2857392264