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2829191004 = 22348732071
BaseRepresentation
bin1010100010100010…
…0000011101011100
321022011121210110000
42220220200131130
521243233103004
61144423214300
7130052504163
oct25050403534
97264553400
102829191004
111222006092
1266b5a7390
133611aac23
141cba623da
151185a3c39
hexa8a2075c

2829191004 has 30 divisors (see below), whose sum is σ = 7396064984. Its totient is φ = 943063560.

The previous prime is 2829190997. The next prime is 2829191009. The reversal of 2829191004 is 4001919282.

It is a super-2 number, since 2×28291910042 = 16008643474229056032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2829191004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829191009) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 4365712 + ... + 4366359.

Almost surely, 22829191004 is an apocalyptic number.

It is an amenable number.

2829191004 is an abundant number, since it is smaller than the sum of its proper divisors (4566873980).

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

2829191004 is a wasteful number, since it uses less digits than its factorization.

2829191004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8732087 (or 8732076 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2829191004 is about 53190.1401013383. The cubic root of 2829191004 is about 1414.3408641225.

The spelling of 2829191004 in words is "two billion, eight hundred twenty-nine million, one hundred ninety-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 8732071 17464142 26196213 34928284 52392426 78588639 104784852 157177278 235765917 314354556 471531834 707297751 943063668 1414595502 2829191004