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2827720152 = 2333167277283
BaseRepresentation
bin1010100010001011…
…1001010111011000
321022001212001211000
42220202321113120
521242344021102
61144331505000
7130034140035
oct25042712730
97261761730
102827720152
1112211a1004
1266abb8160
13360ab45ba
141cb79c38c
151183b301c
hexa88b95d8

2827720152 has 128 divisors (see below), whose sum is σ = 7958361600. Its totient is φ = 930248064.

The previous prime is 2827720123. The next prime is 2827720241. The reversal of 2827720152 is 2510277282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9991803 + ... + 9992085.

It is an arithmetic number, because the mean of its divisors is an integer number (62174700).

Almost surely, 22827720152 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 2827720152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979180800).

2827720152 is an abundant number, since it is smaller than the sum of its proper divisors (5130641448).

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

2827720152 is a wasteful number, since it uses less digits than its factorization.

2827720152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2827720152 is about 53176.3119443235. The cubic root of 2827720152 is about 1414.0957237635.

The spelling of 2827720152 in words is "two billion, eight hundred twenty-seven million, seven hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 167 216 277 283 334 501 554 566 668 831 849 1002 1108 1132 1336 1503 1662 1698 2004 2216 2264 2493 2547 3006 3324 3396 4008 4509 4986 5094 6012 6648 6792 7479 7641 9018 9972 10188 12024 14958 15282 18036 19944 20376 29916 30564 36072 46259 47261 59832 61128 78391 92518 94522 138777 141783 156782 185036 189044 235173 277554 283566 313564 370072 378088 416331 425349 470346 555108 567132 627128 705519 832662 850698 940692 1110216 1134264 1248993 1276047 1411038 1665324 1701396 1881384 2116557 2497986 2552094 2822076 3330648 3402792 4233114 4995972 5104188 5644152 8466228 9991944 10208376 13091297 16932456 26182594 39273891 52365188 78547782 104730376 117821673 157095564 235643346 314191128 353465019 471286692 706930038 942573384 1413860076 2827720152