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2896029540 = 22325113142381
BaseRepresentation
bin1010110010011101…
…1110011101100100
321110211101112200100
42230213132131210
521412340421130
61155211544100
7131523562545
oct25447363544
97424345610
102896029540
111256807948
12689a5b030
13371cb0761
141d68a04cc
1511e3a7c60
hexac9de764

2896029540 has 72 divisors (see below), whose sum is σ = 8862425208. Its totient is φ = 765434880.

The previous prime is 2896029529. The next prime is 2896029541. The reversal of 2896029540 is 459206982.

2896029540 is a `hidden beast` number, since 2 + 89 + 6 + 0 + 29 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 2895946596 = 288^2 + 53814^2 .

It is a super-2 number, since 2×28960295402 = 16773974193105223200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2896029541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50851 + ... + 91530.

It is an arithmetic number, because the mean of its divisors is an integer number (123089239).

Almost surely, 22896029540 is an apocalyptic number.

2896029540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2896029540 is an abundant number, since it is smaller than the sum of its proper divisors (5966395668).

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

2896029540 is a wasteful number, since it uses less digits than its factorization.

2896029540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142509 (or 142504 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2896029540 is about 53814.7706489585. The cubic root of 2896029540 is about 1425.3920398716.

The spelling of 2896029540 in words is "two billion, eight hundred ninety-six million, twenty-nine thousand, five 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 142381 284762 427143 569524 711905 854286 1281429 1423810 1708572 2135715 2562858 2847620 4271430 5125716 6407145 8542860 12814290 16089053 25628580 32178106 48267159 64356212 80445265 96534318 144801477 160890530 193068636 241335795 289602954 321781060 482671590 579205908 724007385 965343180 1448014770 2896029540