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2480693248 = 2131127529
BaseRepresentation
bin1001001111011100…
…0110000000000000
320101212212021101201
42103313012000000
520040024140443
61050053510544
7115321354555
oct22367060000
96355767351
102480693248
111063317610
12592942454
13306c2c737
14197666a2c
15e7bb534d
hex93dc6000

2480693248 has 56 divisors (see below), whose sum is σ = 5412287880. Its totient is φ = 1127546880.

The previous prime is 2480693239. The next prime is 2480693273. The reversal of 2480693248 is 8423960842.

It is a junction number, because it is equal to n+sod(n) for n = 2480693198 and 2480693207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76348 + ... + 103876.

Almost surely, 22480693248 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 2480693248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706143940).

2480693248 is an abundant number, since it is smaller than the sum of its proper divisors (2931594632).

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

2480693248 is an equidigital number, since it uses as much as digits as its factorization.

2480693248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27566 (or 27542 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The square root of 2480693248 is about 49806.5582830213. The cubic root of 2480693248 is about 1353.7060032077.

The spelling of 2480693248 in words is "two billion, four hundred eighty million, six hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 8192 11264 22528 27529 45056 55058 90112 110116 220232 302819 440464 605638 880928 1211276 1761856 2422552 3523712 4845104 7047424 9690208 14094848 19380416 28189696 38760832 56379392 77521664 112758784 155043328 225517568 310086656 620173312 1240346624 2480693248