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2888900916 = 22311171379397
BaseRepresentation
bin1010110000110001…
…0010000100110100
321110022222101001020
42230030102010310
521404024312131
61154355101140
7131406152436
oct25414220464
97408871036
102888900916
111252789020
126875a17b0
13370685b35
141d5966656
1511d94a996
hexac312134

2888900916 has 96 divisors (see below), whose sum is σ = 7843796352. Its totient is φ = 817827840.

The previous prime is 2888900873. The next prime is 2888900941. The reversal of 2888900916 is 6190098882.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302730 + ... + 312126.

It is an arithmetic number, because the mean of its divisors is an integer number (81706212).

Almost surely, 22888900916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2888900916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921898176).

2888900916 is an abundant number, since it is smaller than the sum of its proper divisors (4954895436).

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

2888900916 is a wasteful number, since it uses less digits than its factorization.

2888900916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9569 (or 9567 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The square root of 2888900916 is about 53748.4968720056. The cubic root of 2888900916 is about 1424.2215370148.

The spelling of 2888900916 in words is "two billion, eight hundred eighty-eight million, nine hundred thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 137 187 204 274 374 411 548 561 748 822 1122 1507 1644 2244 2329 3014 4521 4658 6028 6987 9042 9316 9397 13974 18084 18794 25619 27948 28191 37588 51238 56382 76857 102476 103367 112764 153714 159749 206734 307428 310101 319498 413468 479247 620202 638996 958494 1240404 1287389 1757239 1916988 2574778 3514478 3862167 5149556 5271717 7028956 7724334 10543434 14161279 15448668 21086868 21885613 28322558 42483837 43771226 56645116 65656839 84967674 87542452 131313678 169935348 240741743 262627356 481483486 722225229 962966972 1444450458 2888900916