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3997116088 = 2372312312521
BaseRepresentation
bin1110111000111111…
…0010011010111000
3101022120021112110121
43232033302122320
531141230203323
61500344023024
7201023632450
oct35617623270
911276245417
103997116088
1117712a4529
12936761a74
134b9151b64
1429cc02d60
15185da5a5d
hexee3f26b8

3997116088 has 64 divisors (see below), whose sum is σ = 8948459520. Its totient is φ = 1636588800.

The previous prime is 3997116049. The next prime is 3997116131. The reversal of 3997116088 is 8806117993.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1584268 + ... + 1586788.

It is an arithmetic number, because the mean of its divisors is an integer number (139819680).

Almost surely, 23997116088 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 3997116088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474229760).

3997116088 is an abundant number, since it is smaller than the sum of its proper divisors (4951343432).

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

3997116088 is a wasteful number, since it uses less digits than its factorization.

3997116088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The square root of 3997116088 is about 63222.7497662036. The cubic root of 3997116088 is about 1587.0194665034.

The spelling of 3997116088 in words is "three billion, nine hundred ninety-seven million, one hundred sixteen thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1231 1288 2462 2521 4924 5042 8617 9848 10084 17234 17647 20168 28313 34468 35294 56626 57983 68936 70588 113252 115966 141176 198191 226504 231932 396382 405881 463864 792764 811762 1585528 1623524 3103351 3247048 6206702 12413404 21723457 24826808 43446914 71377073 86893828 142754146 173787656 285508292 499639511 571016584 999279022 1998558044 3997116088