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2896232940 = 22325113142391
BaseRepresentation
bin1010110010100001…
…0000000111101100
321110211202212200200
42230220100013230
521412413423230
61155220153500
7131525400546
oct25450200754
97424685620
102896232940
111256936747
12689b38890
13372052203
141d6914696
1511e3e8160
hexaca101ec

2896232940 has 72 divisors (see below), whose sum is σ = 8863047648. Its totient is φ = 765488640.

The previous prime is 2896232903. The next prime is 2896232951. The reversal of 2896232940 is 492326982.

2896232940 is a `hidden beast` number, since 289 + 6 + 2 + 329 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 50856 + ... + 91535.

It is an arithmetic number, because the mean of its divisors is an integer number (123097884).

Almost surely, 22896232940 is an apocalyptic number.

2896232940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2896232940 is an abundant number, since it is smaller than the sum of its proper divisors (5966814708).

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

2896232940 is a wasteful number, since it uses less digits than its factorization.

2896232940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142519 (or 142514 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2896232940 is about 53816.6604315058. The cubic root of 2896232940 is about 1425.4254094614.

The spelling of 2896232940 in words is "two billion, eight hundred ninety-six million, two hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 20340 142391 284782 427173 569564 711955 854346 1281519 1423910 1708692 2135865 2563038 2847820 4271730 5126076 6407595 8543460 12815190 16090183 25630380 32180366 48270549 64360732 80450915 96541098 144811647 160901830 193082196 241352745 289623294 321803660 482705490 579246588 724058235 965410980 1448116470 2896232940