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3082909872 = 243729713513
BaseRepresentation
bin1011011111000001…
…0111100010110000
321221212001001022010
42313300113202300
522303211103442
61225525242520
7136253205300
oct26760274260
97855031263
103082909872
1113422498a9
12720563440
133a1923233
14213629600
151309beb9c
hexb7c178b0

3082909872 has 120 divisors (see below), whose sum is σ = 9360661296. Its totient is φ = 871686144.

The previous prime is 3082909849. The next prime is 3082909877. The reversal of 3082909872 is 2789092803.

It is a happy number.

3082909872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3082909877) 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, 221388 + ... + 234900.

Almost surely, 23082909872 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 3082909872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680330648).

3082909872 is an abundant number, since it is smaller than the sum of its proper divisors (6277751424).

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

3082909872 is a wasteful number, since it uses less digits than its factorization.

3082909872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13635 (or 13622 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 3082909872 is about 55523.9576399233. The cubic root of 3082909872 is about 1455.4153224450.

The spelling of 3082909872 in words is "three billion, eighty-two million, nine hundred nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 97 98 112 147 168 194 196 291 294 336 388 392 582 588 679 776 784 1164 1176 1358 1552 2037 2328 2352 2716 4074 4656 4753 5432 8148 9506 10864 13513 14259 16296 19012 27026 28518 32592 38024 40539 54052 57036 76048 81078 94591 108104 114072 162156 189182 216208 228144 283773 324312 378364 567546 648624 662137 756728 1135092 1310761 1324274 1513456 1986411 2270184 2621522 2648548 3932283 3972822 4540368 5243044 5297096 7864566 7945644 9175327 10486088 10594192 15729132 15891288 18350654 20972176 27525981 31458264 31782576 36701308 55051962 62916528 64227289 73402616 110103924 128454578 146805232 192681867 220207848 256909156 385363734 440415696 513818312 770727468 1027636624 1541454936 3082909872