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2978744032 = 251163113411
BaseRepresentation
bin1011000110001100…
…0000011011100000
321200121000212122001
42301203000123200
522100024302112
61211324453344
7133546622635
oct26143003340
97617025561
102978744032
111299472530
126b16aa254
13386181544
1420387218c
15126795c57
hexb18c06e0

2978744032 has 48 divisors (see below), whose sum is σ = 6408146304. Its totient is φ = 1351728000.

The previous prime is 2978744023. The next prime is 2978744047. The reversal of 2978744032 is 2304478792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215407 + ... + 228817.

It is an arithmetic number, because the mean of its divisors is an integer number (133503048).

Almost surely, 22978744032 is an apocalyptic number.

2978744032 is a gapful number since it is divisible by the number (22) 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 2978744032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204073152).

2978744032 is an abundant number, since it is smaller than the sum of its proper divisors (3429402272).

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

2978744032 is a wasteful number, since it uses less digits than its factorization.

2978744032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14063 (or 14055 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The square root of 2978744032 is about 54577.8712666590. The cubic root of 2978744032 is about 1438.8352257975.

The spelling of 2978744032 in words is "two billion, nine hundred seventy-eight million, seven hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 631 1262 2524 5048 6941 10096 13411 13882 20192 26822 27764 53644 55528 107288 111056 147521 214576 222112 295042 429152 590084 1180168 2360336 4720672 8462341 16924682 33849364 67698728 93085751 135397456 186171502 270794912 372343004 744686008 1489372016 2978744032