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2102892352 = 26119673089
BaseRepresentation
bin111110101010111…
…1001011101000000
312102112221222222221
41331111321131000
513301320023402
6544400140424
7103053201331
oct17525713500
95375858887
102102892352
1198a034170
124a8307714
13276891502
1415d400288
15c4939337
hex7d579740

2102892352 has 56 divisors (see below), whose sum is σ = 4558466880. Its totient is φ = 954562560.

The previous prime is 2102892349. The next prime is 2102892353. The reversal of 2102892352 is 2532982012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102892353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679224 + ... + 682312.

Almost surely, 22102892352 is an apocalyptic number.

2102892352 is a gapful number since it is divisible by the number (22) 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 2102892352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279233440).

2102892352 is an abundant number, since it is smaller than the sum of its proper divisors (2455574528).

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

2102892352 is a wasteful number, since it uses less digits than its factorization.

2102892352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2102892352 is about 45857.3042382563. The cubic root of 2102892352 is about 1281.1668136450.

The spelling of 2102892352 in words is "two billion, one hundred two million, eight hundred ninety-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 967 1934 3089 3868 6178 7736 10637 12356 15472 21274 24712 30944 33979 42548 49424 61888 67958 85096 98848 135916 170192 197696 271832 340384 543664 680768 1087328 2174656 2987063 5974126 11948252 23896504 32857693 47793008 65715386 95586016 131430772 191172032 262861544 525723088 1051446176 2102892352