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2797833948 = 22372133111807
BaseRepresentation
bin1010011011000011…
…1000111011011100
321012222121200122120
42212300320323130
521212221141243
61141343142540
7126222124200
oct24660707334
97188550576
102797833948
111206339068
12660ba4a50
1335784c360
141c781cb00
1511595cc83
hexa6c38edc

2797833948 has 144 divisors (see below), whose sum is σ = 8442814464. Its totient is φ = 714026880.

The previous prime is 2797833947. The next prime is 2797833959. The reversal of 2797833948 is 8493387972.

It is a junction number, because it is equal to n+sod(n) for n = 2797833891 and 2797833900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2797833947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231061 + ... + 242867.

It is an arithmetic number, because the mean of its divisors is an integer number (58630656).

Almost surely, 22797833948 is an apocalyptic number.

2797833948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2797833948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221407232).

2797833948 is an abundant number, since it is smaller than the sum of its proper divisors (5644980516).

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

2797833948 is a wasteful number, since it uses less digits than its factorization.

2797833948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11872 (or 11863 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The square root of 2797833948 is about 52894.5549938744. The cubic root of 2797833948 is about 1409.0962046644.

The spelling of 2797833948 in words is "two billion, seven hundred ninety-seven million, eight hundred thirty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 49 52 62 78 84 91 93 98 124 147 156 182 186 196 217 273 294 364 372 403 434 546 588 637 651 806 868 1092 1209 1274 1302 1519 1612 1911 2418 2548 2604 2821 3038 3822 4557 4836 5642 6076 7644 8463 9114 11284 11807 16926 18228 19747 23614 33852 35421 39494 47228 59241 70842 78988 82649 118482 141684 153491 165298 236964 247947 306982 330596 366017 460473 495894 578543 613964 732034 920946 991788 1074437 1098051 1157086 1464068 1735629 1841892 2148874 2196102 2314172 2562119 3223311 3471258 4297748 4392204 4758221 5124238 6446622 6942516 7521059 7686357 9516442 10248476 12893244 14274663 15042118 15372714 17934833 19032884 22563177 28549326 30084236 30745428 33307547 35869666 45126354 53804499 57098652 66615094 71739332 90252708 99922641 107608998 133230188 199845282 215217996 233152829 399690564 466305658 699458487 932611316 1398916974 2797833948