Search a number
-
+
3748644992 = 27311675657
BaseRepresentation
bin1101111101101111…
…1100100010000000
3100200020201220012102
43133123330202000
530134123114432
61415550245532
7161615646101
oct33733744200
910606656172
103748644992
111654015514
128874b68a8
13479826341
14277c043a8
1516e174962
hexdf6fc880

3748644992 has 64 divisors (see below), whose sum is σ = 7756439040. Its totient is φ = 1802680320.

The previous prime is 3748644971. The next prime is 3748645039. The reversal of 3748644992 is 2994468473.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 659828 + ... + 665484.

It is an arithmetic number, because the mean of its divisors is an integer number (121194360).

Almost surely, 23748644992 is an apocalyptic number.

3748644992 is a gapful number since it is divisible by the number (32) 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 3748644992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878219520).

3748644992 is an abundant number, since it is smaller than the sum of its proper divisors (4007794048).

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

3748644992 is a wasteful number, since it uses less digits than its factorization.

3748644992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869 (or 5857 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 56.

The square root of 3748644992 is about 61226.1789759903. The cubic root of 3748644992 is about 1553.4291048828.

The spelling of 3748644992 in words is "three billion, seven hundred forty-eight million, six hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 167 248 334 496 668 992 1336 1984 2672 3968 5177 5344 5657 10354 10688 11314 20708 21376 22628 41416 45256 82832 90512 165664 175367 181024 331328 350734 362048 662656 701468 724096 944719 1402936 1889438 2805872 3778876 5611744 7557752 11223488 15115504 22446976 29286289 30231008 58572578 60462016 117145156 120924032 234290312 468580624 937161248 1874322496 3748644992