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5690827224 = 23324110119087
BaseRepresentation
bin1010100110011001…
…10010000111011000
3112200121021222100200
411103030302013120
543123322432344
62340410102200
7261011143005
oct52314620730
915617258320
105690827224
1124603617a5
121129a1a960
136c9008ab4
143bdb2c8ac
15234916069
hex1533321d8

5690827224 has 96 divisors (see below), whose sum is σ = 15945733440. Its totient is φ = 1832256000.

The previous prime is 5690827223. The next prime is 5690827229. The reversal of 5690827224 is 4227280965.

5690827224 is a `hidden beast` number, since 569 + 0 + 82 + 7 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5690827224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5690827223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288609 + ... + 307695.

It is an arithmetic number, because the mean of its divisors is an integer number (166101390).

Almost surely, 25690827224 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 5690827224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7972866720).

5690827224 is an abundant number, since it is smaller than the sum of its proper divisors (10254906216).

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

5690827224 is a wasteful number, since it uses less digits than its factorization.

5690827224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19241 (or 19234 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5690827224 is about 75437.5717000488. The cubic root of 5690827224 is about 1785.3572582473.

The spelling of 5690827224 in words is "five billion, six hundred ninety million, eight hundred twenty-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 101 123 164 202 246 303 328 369 404 492 606 738 808 909 984 1212 1476 1818 2424 2952 3636 4141 7272 8282 12423 16564 19087 24846 33128 37269 38174 49692 57261 74538 76348 99384 114522 149076 152696 171783 229044 298152 343566 458088 687132 782567 1374264 1565134 1927787 2347701 3130268 3855574 4695402 5783361 6260536 7043103 7711148 9390804 11566722 14086206 15422296 17350083 18781608 23133444 28172412 34700166 46266888 56344824 69400332 79039267 138800664 158078534 237117801 316157068 474235602 632314136 711353403 948471204 1422706806 1896942408 2845413612 5690827224