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2752986096 = 243371516029
BaseRepresentation
bin1010010000010111…
…0011101111110000
321002212020011222000
42210011303233300
521114231023341
61133102014000
7125135665350
oct24405635760
97085204860
102752986096
111192a97223
12649b77300
1334b479073
141c18a6b60
15111a4e8b6
hexa4173bf0

2752986096 has 160 divisors (see below), whose sum is σ = 9092275200. Its totient is φ = 781228800.

The previous prime is 2752986083. The next prime is 2752986097. The reversal of 2752986096 is 6906892572.

2752986096 is a `hidden beast` number, since 2 + 7 + 5 + 29 + 8 + 609 + 6 = 666.

2752986096 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752986097) 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, 453610 + ... + 459638.

It is an arithmetic number, because the mean of its divisors is an integer number (56826720).

Almost surely, 22752986096 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 2752986096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546137600).

2752986096 is an abundant number, since it is smaller than the sum of its proper divisors (6339289104).

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

2752986096 is a wasteful number, since it uses less digits than its factorization.

2752986096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 2752986096 is about 52468.9059920254. The cubic root of 2752986096 is about 1401.5265824041.

The spelling of 2752986096 in words is "two billion, seven hundred fifty-two million, nine hundred eighty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 151 168 189 216 252 302 336 378 432 453 504 604 756 906 1008 1057 1208 1359 1512 1812 2114 2416 2718 3024 3171 3624 4077 4228 5436 6029 6342 7248 8154 8456 9513 10872 12058 12684 16308 16912 18087 19026 21744 24116 25368 28539 32616 36174 38052 42203 48232 50736 54261 57078 65232 72348 76104 84406 96464 108522 114156 126609 144696 152208 162783 168812 217044 228312 253218 289392 325566 337624 379827 434088 456624 506436 651132 675248 759654 868176 910379 1012872 1139481 1302264 1519308 1820758 2025744 2278962 2604528 2731137 3038616 3641516 4557924 5462274 6077232 6372653 7283032 8193411 9115848 10924548 12745306 14566064 16386822 18231696 19117959 21849096 24580233 25490612 32773644 38235918 43698192 49160466 50981224 57353877 65547288 76471836 98320932 101962448 114707754 131094576 152943672 172061631 196641864 229415508 305887344 344123262 393283728 458831016 688246524 917662032 1376493048 2752986096