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3991277376 = 26338392753
BaseRepresentation
bin1110110111100110…
…0000111101000000
3101022011021220021000
43231321200331000
531133231334001
61500014532000
7200623204122
oct35571407500
911264256230
103991277376
111768a76849
12934807000
134b7b893b8
1429c123212
15185600a86
hexede60f40

3991277376 has 112 divisors (see below), whose sum is σ = 11751868800. Its totient is φ = 1328357376.

The previous prime is 3991277369. The next prime is 3991277399. The reversal of 3991277376 is 6737721993.

It is a happy number.

3991277376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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, 1448416 + ... + 1451168.

It is an arithmetic number, because the mean of its divisors is an integer number (104927400).

Almost surely, 23991277376 is an apocalyptic number.

3991277376 is a gapful number since it is divisible by the number (36) 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 3991277376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875934400).

3991277376 is an abundant number, since it is smaller than the sum of its proper divisors (7760591424).

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

3991277376 is a wasteful number, since it uses less digits than its factorization.

3991277376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3597 counting only the distinct ones).

The product of its digits is 3000564, while the sum is 54.

The square root of 3991277376 is about 63176.5571711533. The cubic root of 3991277376 is about 1586.2463536850.

The spelling of 3991277376 in words is "three billion, nine hundred ninety-one million, two hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 839 864 1678 1728 2517 2753 3356 5034 5506 6712 7551 8259 10068 11012 13424 15102 16518 20136 22024 22653 24777 26848 30204 33036 40272 44048 45306 49554 53696 60408 66072 74331 80544 88096 90612 99108 120816 132144 148662 161088 176192 181224 198216 241632 264288 297324 362448 396432 483264 528576 594648 724896 792864 1189296 1449792 1585728 2309767 2378592 4619534 4757184 6929301 9239068 13858602 18478136 20787903 27717204 36956272 41575806 55434408 62363709 73912544 83151612 110868816 124727418 147825088 166303224 221737632 249454836 332606448 443475264 498909672 665212896 997819344 1330425792 1995638688 3991277376