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2097249448 = 237314312803
BaseRepresentation
bin111110100000001…
…0111110010101000
312102011100022101111
41331000113302220
513243343440243
6544035200104
7102654216610
oct17500276250
95364308344
102097249448
1198692a608
124a6446034
13275666c08
1415c771a40
15c41c239d
hex7d017ca8

2097249448 has 64 divisors (see below), whose sum is σ = 4651499520. Its totient is φ = 867499200.

The previous prime is 2097249439. The next prime is 2097249467. The reversal of 2097249448 is 8449427902.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746815 + ... + 749617.

It is an arithmetic number, because the mean of its divisors is an integer number (72679680).

Almost surely, 22097249448 is an apocalyptic number.

2097249448 is a gapful number since it is divisible by the number (28) 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 2097249448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325749760).

2097249448 is an abundant number, since it is smaller than the sum of its proper divisors (2554250072).

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

2097249448 is a wasteful number, since it uses less digits than its factorization.

2097249448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The square root of 2097249448 is about 45795.7361334000. The cubic root of 2097249448 is about 1280.0198255393.

The spelling of 2097249448 in words is "two billion, ninety-seven million, two hundred forty-nine thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 431 434 862 868 1724 1736 2803 3017 3448 5606 6034 11212 12068 13361 19621 22424 24136 26722 39242 53444 78484 86893 93527 106888 156968 173786 187054 347572 374108 608251 695144 748216 1208093 1216502 2416186 2433004 4832372 4866008 8456651 9664744 16913302 33826604 37450883 67653208 74901766 149803532 262156181 299607064 524312362 1048624724 2097249448