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2081549376 = 263219012
BaseRepresentation
bin111110000010001…
…1110110001000000
312101001210122221100
41330010132301000
513230334040001
6542314454400
7102403610034
oct17404366100
95331718840
102081549376
11978a86945
124a1134400
1327232aa2a
1415a6461c4
15c2b20586
hex7c11ec40

2081549376 has 63 divisors (see below), whose sum is σ = 5969525653. Its totient is φ = 693484800.

The previous prime is 2081549363. The next prime is 2081549453. The reversal of 2081549376 is 6739451802.

The square root of 2081549376 is 45624.

It is a perfect power (a square), and thus also a powerful number.

2081549376 is a `hidden beast` number, since 20 + 81 + 549 + 3 + 7 + 6 = 666.

2081549376 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 173606976 + 1907942400 = 13176^2 + 43680^2 .

It is a Duffinian number.

2081549376 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1094026 + ... + 1095926.

It is a 2-persistent number, because it is pandigital, and so is 2⋅2081549376 = 4163098752, but 3⋅2081549376 = 6244648128 is not.

Almost surely, 22081549376 is an apocalyptic number.

2081549376 is the 45624-th square number.

It is an amenable number.

2081549376 is an abundant number, since it is smaller than the sum of its proper divisors (3887976277).

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

2081549376 is an frugal number, since it uses more digits than its factorization.

2081549376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 2081549376 is about 1276.8177329966.

The spelling of 2081549376 in words is "two billion, eighty-one million, five hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1901 3802 5703 7604 11406 15208 17109 22812 30416 34218 45624 60832 68436 91248 121664 136872 182496 273744 364992 547488 1094976 3613801 7227602 10841403 14455204 21682806 28910408 32524209 43365612 57820816 65048418 86731224 115641632 130096836 173462448 231283264 260193672 346924896 520387344 693849792 1040774688 2081549376