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2682960384 = 29313134363
BaseRepresentation
bin1001111111101010…
…1011101000000000
320220222110111202010
42133322223220000
520443314213014
61122121052520
7123325533636
oct23772535000
96828414663
102682960384
111157508935
1262a627140
13339acb930
141b6479356
1510a81b359
hex9feaba00

2682960384 has 80 divisors (see below), whose sum is σ = 7697444832. Its totient is φ = 825520128.

The previous prime is 2682960323. The next prime is 2682960389. The reversal of 2682960384 is 4830692862.

2682960384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26829603842 = 14396552844226854912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2682960389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47214 + ... + 87149.

Almost surely, 22682960384 is an apocalyptic number.

2682960384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2682960384 is an abundant number, since it is smaller than the sum of its proper divisors (5014484448).

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

2682960384 is a wasteful number, since it uses less digits than its factorization.

2682960384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134397 (or 134381 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 2682960384 is about 51797.3009335429. The cubic root of 2682960384 is about 1389.5411738906.

The spelling of 2682960384 in words is "two billion, six hundred eighty-two million, nine hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 9984 19968 134363 268726 403089 537452 806178 1074904 1612356 1746719 2149808 3224712 3493438 4299616 5240157 6449424 6986876 8599232 10480314 12898848 13973752 17198464 20960628 25797696 27947504 34396928 41921256 51595392 55895008 68793856 83842512 103190784 111790016 167685024 206381568 223580032 335370048 447160064 670740096 894320128 1341480192 2682960384