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2099382528 = 2837138501
BaseRepresentation
bin111110100100010…
…0000100100000000
312102022100200102110
41331020200210000
513244420220103
6544153015320
7103011312525
oct17510404400
95368320373
102099382528
11988057191
124a70b4540
13275c32aa9
1415cb6914c
15c4494403
hex7d220900

2099382528 has 72 divisors (see below), whose sum is σ = 5666262336. Its totient is φ = 689920000.

The previous prime is 2099382521. The next prime is 2099382533. The reversal of 2099382528 is 8252839902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2099382521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35278 + ... + 73778.

It is an arithmetic number, because the mean of its divisors is an integer number (78698088).

Almost surely, 22099382528 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 2099382528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833131168).

2099382528 is an abundant number, since it is smaller than the sum of its proper divisors (3566879808).

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

2099382528 is an equidigital number, since it uses as much as digits as its factorization.

2099382528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38591 (or 38577 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 2099382528 is about 45819.0192823897. The cubic root of 2099382528 is about 1280.4536412906.

The spelling of 2099382528 in words is "two billion, ninety-nine million, three hundred eighty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 568 768 852 1136 1704 2272 3408 4544 6816 9088 13632 18176 27264 38501 54528 77002 115503 154004 231006 308008 462012 616016 924024 1232032 1848048 2464064 2733571 3696096 4928128 5467142 7392192 8200713 9856256 10934284 14784384 16401426 21868568 29568768 32802852 43737136 65605704 87474272 131211408 174948544 262422816 349897088 524845632 699794176 1049691264 2099382528