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2084523072 = 26353792593
BaseRepresentation
bin111110000111111…
…0100110001000000
312101021101202002020
41330033310301000
513232114214242
6542502321440
7102441103512
oct17417646100
95337352066
102084523072
1197a728045
124a2129280
13272b2c408
1415abbbbb2
15c300b6ec
hex7c3f4c40

2084523072 has 112 divisors (see below), whose sum is σ = 5692688640. Its totient is φ = 672841728.

The previous prime is 2084523029. The next prime is 2084523073. The reversal of 2084523072 is 2703254802.

It is not an unprimeable number, because it can be changed into a prime (2084523073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802608 + ... + 805200.

Almost surely, 22084523072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084523072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846344320).

2084523072 is an abundant number, since it is smaller than the sum of its proper divisors (3608165568).

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

2084523072 is a wasteful number, since it uses less digits than its factorization.

2084523072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2084523072 is about 45656.5775327061. The cubic root of 2084523072 is about 1277.4254631803.

Adding to 2084523072 its reverse (2703254802), we get a palindrome (4787777874).

The spelling of 2084523072 in words is "two billion, eighty-four million, five hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 79 96 106 158 159 192 212 237 316 318 424 474 632 636 848 948 1264 1272 1696 1896 2528 2544 2593 3392 3792 4187 5056 5088 5186 7584 7779 8374 10176 10372 12561 15168 15558 16748 20744 25122 31116 33496 41488 50244 62232 66992 82976 100488 124464 133984 137429 165952 200976 204847 248928 267968 274858 401952 409694 412287 497856 549716 614541 803904 819388 824574 1099432 1229082 1638776 1649148 2198864 2458164 3277552 3298296 4397728 4916328 6555104 6596592 8795456 9832656 10856891 13110208 13193184 19665312 21713782 26386368 32570673 39330624 43427564 65141346 86855128 130282692 173710256 260565384 347420512 521130768 694841024 1042261536 2084523072