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3974935008 = 2531111333311
BaseRepresentation
bin1110110011101100…
…1011000111100000
3101021000112121202010
43230323023013200
531120040410013
61454232352520
7200334250542
oct35473130740
911230477663
103974935008
11175a824560
1292b245740
134b4686a65
14299cab692
15183e737c3
hexececb1e0

3974935008 has 96 divisors (see below), whose sum is σ = 11483845632. Its totient is φ = 1193830400.

The previous prime is 3974934991. The next prime is 3974935021. The reversal of 3974935008 is 8005394793.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 102673 + ... + 135983.

It is an arithmetic number, because the mean of its divisors is an integer number (119623392).

Almost surely, 23974935008 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 3974935008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741922816).

3974935008 is an abundant number, since it is smaller than the sum of its proper divisors (7508910624).

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

3974935008 is a wasteful number, since it uses less digits than its factorization.

3974935008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33448 (or 33440 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 3974935008 is about 63047.0856423990. The cubic root of 3974935008 is about 1584.0784192377.

The spelling of 3974935008 in words is "three billion, nine hundred seventy-four million, nine hundred thirty-five thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 113 132 176 226 264 339 352 452 528 678 904 1056 1243 1356 1808 2486 2712 3616 3729 4972 5424 7458 9944 10848 14916 19888 29832 33311 39776 59664 66622 99933 119328 133244 199866 266488 366421 399732 532976 732842 799464 1065952 1099263 1465684 1598928 2198526 2931368 3197856 3764143 4397052 5862736 7528286 8794104 11292429 11725472 15056572 17588208 22584858 30113144 35176416 41405573 45169716 60226288 82811146 90339432 120452576 124216719 165622292 180678864 248433438 331244584 361357728 496866876 662489168 993733752 1324978336 1987467504 3974935008