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2291286528 = 293455249
BaseRepresentation
bin1000100010010010…
…0100001000000000
312220200110102020000
42020210210020000
514143032132103
61015210120000
7110531420436
oct21044441000
95820412200
102291286528
11a7640a533
1253b420000
132a691405b
1417a440d56
15d624eaa3
hex88924200

2291286528 has 100 divisors (see below), whose sum is σ = 6839010750. Its totient is φ = 763748352.

The previous prime is 2291286523. The next prime is 2291286553. The reversal of 2291286528 is 8256821922.

It can be written as a sum of positive squares in only one way, i.e., 1780164864 + 511121664 = 42192^2 + 22608^2 .

It is not an unprimeable number, because it can be changed into a prime (2291286523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13848 + ... + 69096.

Almost surely, 22291286528 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 2291286528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419505375).

2291286528 is an abundant number, since it is smaller than the sum of its proper divisors (4547724222).

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

2291286528 is an frugal number, since it uses more digits than its factorization.

2291286528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55279 (or 55254 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 2291286528 is about 47867.3848042694. The cubic root of 2291286528 is about 1318.3370795057.

The spelling of 2291286528 in words is "two billion, two hundred ninety-one million, two hundred eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 55249 110498 165747 220996 331494 441992 497241 662988 883984 994482 1325976 1491723 1767968 1988964 2651952 2983446 3535936 3977928 4475169 5303904 5966892 7071872 7955856 8950338 10607808 11933784 14143744 15911712 17900676 21215616 23867568 28287488 31823424 35801352 42431232 47735136 63646848 71602704 84862464 95470272 127293696 143205408 190940544 254587392 286410816 381881088 572821632 763762176 1145643264 2291286528