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2028692232 = 2332739710139
BaseRepresentation
bin111100011101011…
…0110001100001000
312020101100020120100
41320322312030020
513123321122412
6533145525400
7101162412420
oct17072661410
95211306510
102028692232
11951164556
124874a3860
132643b2008
14153607480
15bd17dedc
hex78eb6308

2028692232 has 96 divisors (see below), whose sum is σ = 6295723200. Its totient is φ = 578109312.

The previous prime is 2028692231. The next prime is 2028692251. The reversal of 2028692232 is 2322968202.

It is a super-3 number, since 3×20286922323 (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2028692231) 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, 195019 + ... + 205157.

It is an arithmetic number, because the mean of its divisors is an integer number (65580450).

Almost surely, 22028692232 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 2028692232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147861600).

2028692232 is an abundant number, since it is smaller than the sum of its proper divisors (4267030968).

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

2028692232 is a wasteful number, since it uses less digits than its factorization.

2028692232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10555 (or 10548 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2028692232 is about 45041.0061166489. The cubic root of 2028692232 is about 1265.9174567897.

The spelling of 2028692232 in words is "two billion, twenty-eight million, six hundred ninety-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 397 504 794 1191 1588 2382 2779 3176 3573 4764 5558 7146 8337 9528 10139 11116 14292 16674 20278 22232 25011 28584 30417 33348 40556 50022 60834 66696 70973 81112 91251 100044 121668 141946 182502 200088 212919 243336 283892 365004 425838 567784 638757 730008 851676 1277514 1703352 2555028 4025183 5110056 8050366 12075549 16100732 24151098 28176281 32201464 36226647 48302196 56352562 72453294 84528843 96604392 112705124 144906588 169057686 225410248 253586529 289813176 338115372 507173058 676230744 1014346116 2028692232