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2876741406 = 23571176873
BaseRepresentation
bin1010101101110111…
…1001011100011110
321102111002121100000
42223131321130132
521342421211111
61153242315130
7131200620120
oct25335713436
97374077300
102876741406
111246933440
126834b8aa6
1336acb9366
141d40bd210
1511c847c56
hexab77971e

2876741406 has 96 divisors (see below), whose sum is σ = 8058855168. Its totient is φ = 747195840.

The previous prime is 2876741401. The next prime is 2876741429. The reversal of 2876741406 is 6041476782.

It is a super-2 number, since 2×28767414062 = 16551282233989713672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2876741401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015 + ... + 75858.

It is an arithmetic number, because the mean of its divisors is an integer number (83946408).

Almost surely, 22876741406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2876741406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029427584).

2876741406 is an abundant number, since it is smaller than the sum of its proper divisors (5182113762).

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

2876741406 is a wasteful number, since it uses less digits than its factorization.

2876741406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76908 (or 76896 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2876741406 is about 53635.2627102730. The cubic root of 2876741406 is about 1422.2205234025.

The spelling of 2876741406 in words is "two billion, eight hundred seventy-six million, seven hundred forty-one thousand, four hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 891 1134 1386 1701 1782 2079 2673 3402 4158 5346 6237 12474 18711 37422 76873 153746 230619 461238 538111 691857 845603 1076222 1383714 1614333 1691206 2075571 2536809 3228666 4151142 4842999 5073618 5919221 6226713 7610427 9685998 11838442 12453426 14528997 15220854 17757663 18680139 22831281 29057994 35515326 37360278 43586991 45662562 53272989 68493843 87173982 106545978 130760973 136987686 159818967 205481529 261521946 319637934 410963058 479456901 958913802 1438370703 2876741406