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2289749792 = 251127692
BaseRepresentation
bin1000100001111010…
…1100111100100000
312220120120100012212
42020132230330200
514142133443132
61015113141252
7110512360241
oct21036547440
95816510185
102289749792
11a7555aa00
1253a9ba828
132a64c6745
1417a160cc8
15d60495b2
hex887acf20

2289749792 has 54 divisors (see below), whose sum is σ = 4961465649. Its totient is φ = 1039441920.

The previous prime is 2289749779. The next prime is 2289749827. The reversal of 2289749792 is 2979479822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2262334096 + 27415696 = 47564^2 + 5236^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33836.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2977184 + ... + 2977952.

Almost surely, 22289749792 is an apocalyptic number.

2289749792 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 2289749792

2289749792 is an abundant number, since it is smaller than the sum of its proper divisors (2671715857).

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

2289749792 is an frugal number, since it uses more digits than its factorization.

2289749792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 782 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 59.

The square root of 2289749792 is about 47851.3300964560. The cubic root of 2289749792 is about 1318.0422830937.

The spelling of 2289749792 in words is "two billion, two hundred eighty-nine million, seven hundred forty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 769 968 1538 1936 3076 3872 6152 8459 12304 16918 24608 33836 67672 93049 135344 186098 270688 372196 591361 744392 1182722 1488784 2365444 2977568 4730888 6504971 9461776 13009942 18923552 26019884 52039768 71554681 104079536 143109362 208159072 286218724 572437448 1144874896 2289749792