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2833012152 = 2333371133137
BaseRepresentation
bin1010100011011100…
…0101010110111000
321022102210221002000
42220313011112320
521300222342102
61145041141000
7130130130435
oct25067052670
97272727060
102833012152
111224185a63
1267092a760
13361c18269
141cc378b8c
15118aab01c
hexa8dc55b8

2833012152 has 128 divisors (see below), whose sum is σ = 8156289600. Its totient is φ = 910393344.

The previous prime is 2833012099. The next prime is 2833012153. The reversal of 2833012152 is 2512103382.

2833012152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28330121522 = 16051915706759342208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2833012153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901528 + ... + 904664.

Almost surely, 22833012152 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 2833012152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078144800).

2833012152 is an abundant number, since it is smaller than the sum of its proper divisors (5323277448).

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

2833012152 is a wasteful number, since it uses less digits than its factorization.

2833012152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2833012152 is about 53226.0476834416. The cubic root of 2833012152 is about 1414.9773210331.

The spelling of 2833012152 in words is "two billion, eight hundred thirty-three million, twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 113 148 216 222 226 296 333 339 444 452 666 678 888 904 999 1017 1332 1356 1998 2034 2664 2712 3051 3137 3996 4068 4181 6102 6274 7992 8136 8362 9411 12204 12543 12548 16724 18822 24408 25086 25096 28233 33448 37629 37644 50172 56466 75258 75288 84699 100344 112887 112932 116069 150516 169398 225774 225864 232138 301032 338796 348207 354481 451548 464276 677592 696414 708962 903096 928552 1044621 1063443 1392828 1417924 2089242 2126886 2785656 2835848 3133863 3190329 4178484 4253772 6267726 6380658 8356968 8507544 9570987 12535452 12761316 13115797 19141974 25070904 25522632 26231594 38283948 39347391 52463188 76567896 78694782 104926376 118042173 157389564 236084346 314779128 354126519 472168692 708253038 944337384 1416506076 2833012152