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2689044736 = 28724632
BaseRepresentation
bin1010000001000111…
…1001000100000000
320221101220121220111
42200101321010000
521001343412421
61122455321104
7123431334400
oct24021710400
96841817814
102689044736
11115a994124
12630680194
1333b14c141
141b71c0800
1510b11dee1
hexa0479100

2689044736 has 81 divisors (see below), whose sum is σ = 6257440791. Its totient is φ = 1149958656.

The previous prime is 2689044731. The next prime is 2689044763. The reversal of 2689044736 is 6374409862.

The square root of 2689044736 is 51856.

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

It is a super-3 number, since 3×26890447363 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 2689044736.

It is not an unprimeable number, because it can be changed into a prime (2689044731) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5807641 + ... + 5808103.

Almost surely, 22689044736 is an apocalyptic number.

2689044736 is the 51856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2689044736

2689044736 is an abundant number, since it is smaller than the sum of its proper divisors (3568396055).

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

2689044736 is an frugal number, since it uses more digits than its factorization.

2689044736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The cubic root of 2689044736 is about 1390.5907700473.

Multiplying 2689044736 by its sum of digits (49), we get a square (131763192064 = 3629922).

2689044736 divided by its sum of digits (49) gives a square (54878464 = 74082).

The spelling of 2689044736 in words is "two billion, six hundred eighty-nine million, forty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 463 784 896 926 1568 1792 1852 3136 3241 3704 6272 6482 7408 12544 12964 14816 22687 25928 29632 45374 51856 59264 90748 103712 118528 181496 207424 214369 362992 414848 428738 725984 829696 857476 1451968 1500583 1714952 2903936 3001166 3429904 5807872 6002332 6859808 10504081 12004664 13719616 21008162 24009328 27439232 42016324 48018656 54878464 84032648 96037312 168065296 192074624 336130592 384149248 672261184 1344522368 2689044736