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2488561296 = 243139074397
BaseRepresentation
bin1001010001010100…
…0110111010010000
320102102200000022220
42110111012322100
520044032430141
61050534301040
7115445264514
oct22425067220
96372600286
102488561296
111067800a31
125954b7780
13308755aa0
14198714144
15e871b766
hex94546e90

2488561296 has 80 divisors (see below), whose sum is σ = 6932514624. Its totient is φ = 764692992.

The previous prime is 2488561277. The next prime is 2488561331. The reversal of 2488561296 is 6921658842.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563770 + ... + 568166.

Almost surely, 22488561296 is an apocalyptic number.

2488561296 is a gapful number since it is divisible by the number (26) 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 2488561296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466257312).

2488561296 is an abundant number, since it is smaller than the sum of its proper divisors (4443953328).

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

2488561296 is a wasteful number, since it uses less digits than its factorization.

2488561296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5322 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 2488561296 is about 49885.4818158550. The cubic root of 2488561296 is about 1355.1356819147.

The spelling of 2488561296 in words is "two billion, four hundred eighty-eight million, five hundred sixty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 907 1814 2721 3628 4397 5442 7256 8794 10884 11791 13191 14512 17588 21768 23582 26382 35176 35373 43536 47164 52764 57161 70352 70746 94328 105528 114322 141492 171483 188656 211056 228644 282984 342966 457288 565968 685932 914576 1371864 2743728 3988079 7976158 11964237 15952316 23928474 31904632 47856948 51845027 63809264 95713896 103690054 155535081 191427792 207380108 311070162 414760216 622140324 829520432 1244280648 2488561296