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2100428288 = 297586057
BaseRepresentation
bin111110100110001…
…1111111000000000
312102101022210221022
41331030133320000
513300202201123
6544231245012
7103023226430
oct17514377000
95371283838
102100428288
11988700952
124a7519768
1327620aa9a
1415cd5c2c0
15c45ee1c8
hex7d31fe00

2100428288 has 40 divisors (see below), whose sum is σ = 4796298672. Its totient is φ = 900182016.

The previous prime is 2100428279. The next prime is 2100428329. The reversal of 2100428288 is 8828240012.

It is a super-2 number, since 2×21004282882 = 8823597986061221888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 289445 + ... + 296612.

Almost surely, 22100428288 is an apocalyptic number.

2100428288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2100428288 is an abundant number, since it is smaller than the sum of its proper divisors (2695870384).

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

2100428288 is an frugal number, since it uses more digits than its factorization.

2100428288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586082 (or 586066 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 2100428288 is about 45830.4297165104. The cubic root of 2100428288 is about 1280.6662156872. Note that the first 3 decimals are identical.

The spelling of 2100428288 in words is "two billion, one hundred million, four hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 586057 1172114 2344228 4102399 4688456 8204798 9376912 16409596 18753824 32819192 37507648 65638384 75015296 131276768 150030592 262553536 300061184 525107072 1050214144 2100428288