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3996588376 = 231132316319
BaseRepresentation
bin1110111000110111…
…0001100101011000
3101022112021201120201
43232031301211120
531141111312001
61500324431544
7201016304104
oct35615614530
911275251521
103996588376
111770a74000
129365485b4
134b8cc88c1
1429cb06904
15185cee501
hexee371958

3996588376 has 64 divisors (see below), whose sum is σ = 8601292800. Its totient is φ = 1737540640.

The previous prime is 3996588373. The next prime is 3996588457. The reversal of 3996588376 is 6738856993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3996588373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236745 + ... + 253063.

It is an arithmetic number, because the mean of its divisors is an integer number (134395200).

Almost surely, 23996588376 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 3996588376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300646400).

3996588376 is an abundant number, since it is smaller than the sum of its proper divisors (4604704424).

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

3996588376 is a wasteful number, since it uses less digits than its factorization.

3996588376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16381 (or 16355 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 64.

The square root of 3996588376 is about 63218.5761940270. The cubic root of 3996588376 is about 1586.9496223076.

The spelling of 3996588376 in words is "three billion, nine hundred ninety-six million, five hundred eighty-eight thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 184 242 253 484 506 968 1012 1331 2024 2662 2783 5324 5566 10648 11132 16319 22264 30613 32638 61226 65276 122452 130552 179509 244904 359018 375337 718036 750674 1436072 1501348 1974599 3002696 3949198 4128707 7898396 8257414 15796792 16514828 21720589 33029656 43441178 45415777 86882356 90831554 173764712 181663108 363326216 499573547 999147094 1998294188 3996588376