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2047912256 = 26132296529
BaseRepresentation
bin111101000010000…
…1010100101000000
312021201111201111002
41322010022211000
513143231143011
6535113511132
7101514652445
oct17204124500
95251451432
102047912256
11960aa1875
12491a124a8
13268381400
14155dab9cc
15bebc8c3b
hex7a10a940

2047912256 has 84 divisors (see below), whose sum is σ = 4552911900. Its totient is φ = 912457728.

The previous prime is 2047912253. The next prime is 2047912291. The reversal of 2047912256 is 6522197402.

It can be written as a sum of positive squares in 6 ways, for example, as 694849600 + 1353062656 = 26360^2 + 36784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047912253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310400 + ... + 316928.

Almost surely, 22047912256 is an apocalyptic number.

2047912256 is a gapful number since it is divisible by the number (26) 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 2047912256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276455950).

2047912256 is an abundant number, since it is smaller than the sum of its proper divisors (2504999644).

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

2047912256 is a wasteful number, since it uses less digits than its factorization.

2047912256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6596 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 2047912256 is about 45253.8645421582. The cubic root of 2047912256 is about 1269.9027052585.

The spelling of 2047912256 in words is "two billion, forty-seven million, nine hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 169 208 232 338 377 416 464 676 754 832 928 1352 1508 1856 2704 3016 4901 5408 6032 6529 9802 10816 12064 13058 19604 24128 26116 39208 52232 78416 84877 104464 156832 169754 189341 208928 313664 339508 378682 417856 679016 757364 1103401 1358032 1514728 2206802 2461433 2716064 3029456 4413604 4922866 5432128 6058912 8827208 9845732 12117824 17654416 19691464 31998629 35308832 39382928 63997258 70617664 78765856 127994516 157531712 255989032 511978064 1023956128 2047912256