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2916886940 = 2251143503613
BaseRepresentation
bin1010110111011100…
…0010100110011100
321112021122012122122
42231313002212130
521433210340230
61201235002112
7132166062362
oct25567024634
97467565578
102916886940
111267563370
12694a39338
13376404206
141d956d632
15121127be5
hexaddc299c

2916886940 has 96 divisors (see below), whose sum is σ = 6862496256. Its totient is φ = 1032272640.

The previous prime is 2916886927. The next prime is 2916886949. The reversal of 2916886940 is 496886192.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2916886949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4758074 + ... + 4758686.

It is an arithmetic number, because the mean of its divisors is an integer number (71484336).

Almost surely, 22916886940 is an apocalyptic number.

2916886940 is a gapful number since it is divisible by the number (20) 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 2916886940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431248128).

2916886940 is an abundant number, since it is smaller than the sum of its proper divisors (3945609316).

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

2916886940 is a wasteful number, since it uses less digits than its factorization.

2916886940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The square root of 2916886940 is about 54008.2117830243. The cubic root of 2916886940 is about 1428.8057808008.

The spelling of 2916886940 in words is "two billion, nine hundred sixteen million, eight hundred eighty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 503 613 860 946 1006 1226 1892 2012 2365 2452 2515 3065 4730 5030 5533 6130 6743 9460 10060 11066 12260 13486 21629 22132 26359 26972 27665 33715 43258 52718 55330 67430 86516 105436 108145 110660 131795 134860 216290 237919 263590 289949 308339 432580 475838 527180 579898 616678 951676 1159796 1189595 1233356 1449745 1541695 2379190 2899490 3083390 3391729 4758380 5798980 6166780 6783458 13258577 13566916 16958645 26517154 33917290 53034308 66292885 67834580 132585770 145844347 265171540 291688694 583377388 729221735 1458443470 2916886940