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2482985088 = 273219910831
BaseRepresentation
bin1001001111111111…
…0101100010000000
320102001011201012200
42103333311202000
520041121010323
61050214553200
7115350011403
oct22377654200
96361151180
102482985088
1110646424a1
12593668800
1330755295c
14197aa1d3a
15e7eb9443
hex93ff5880

2482985088 has 96 divisors (see below), whose sum is σ = 7181616000. Its totient is φ = 823426560.

The previous prime is 2482985081. The next prime is 2482985107. The reversal of 2482985088 is 8805892842.

It is a happy number.

2482985088 is a `hidden beast` number, since 2 + 48 + 2 + 98 + 508 + 8 = 666.

2482985088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2482985081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223833 + ... + 234663.

It is an arithmetic number, because the mean of its divisors is an integer number (74808500).

Almost surely, 22482985088 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 2482985088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590808000).

2482985088 is an abundant number, since it is smaller than the sum of its proper divisors (4698630912).

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

2482985088 is a wasteful number, since it uses less digits than its factorization.

2482985088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11050 (or 11035 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 2482985088 is about 49829.5603833708. The cubic root of 2482985088 is about 1354.1227580307.

The spelling of 2482985088 in words is "two billion, four hundred eighty-two million, nine hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 199 288 384 398 576 597 796 1152 1194 1592 1791 2388 3184 3582 4776 6368 7164 9552 10831 12736 14328 19104 21662 25472 28656 32493 38208 43324 57312 64986 76416 86648 97479 114624 129972 173296 194958 229248 259944 346592 389916 519888 693184 779832 1039776 1386368 1559664 2079552 2155369 3119328 4159104 4310738 6238656 6466107 8621476 12477312 12932214 17242952 19398321 25864428 34485904 38796642 51728856 68971808 77593284 103457712 137943616 155186568 206915424 275887232 310373136 413830848 620746272 827661696 1241492544 2482985088