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3949647072 = 25377182781
BaseRepresentation
bin1110101101101010…
…1101010011100000
3101012020221212012220
43223122231103200
531042102201242
61451530351040
7166606306020
oct35332552340
911166855186
103949647072
111747522338
1292288b480
134ac371797
142967a7a80
15181b2abec
hexeb6ad4e0

3949647072 has 96 divisors (see below), whose sum is σ = 12015972864. Its totient is φ = 1112563200.

The previous prime is 3949647049. The next prime is 3949647109. The reversal of 3949647072 is 2707469493.

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

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, 6322 + ... + 89102.

It is an arithmetic number, because the mean of its divisors is an integer number (125166384).

Almost surely, 23949647072 is an apocalyptic number.

3949647072 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 3949647072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007986432).

3949647072 is an abundant number, since it is smaller than the sum of its proper divisors (8066325792).

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

3949647072 is a wasteful number, since it uses less digits than its factorization.

3949647072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82872 (or 82864 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The square root of 3949647072 is about 62846.2176427508. The cubic root of 3949647072 is about 1580.7120478024.

It can be divided in two parts, 39496 and 47072, that added together give a palindrome (86568).

The spelling of 3949647072 in words is "three billion, nine hundred forty-nine million, six hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1136 1491 1704 1988 2272 2982 3408 3976 5964 6816 7952 11928 15904 23856 47712 82781 165562 248343 331124 496686 579467 662248 993372 1158934 1324496 1738401 1986744 2317868 2648992 3476802 3973488 4635736 5877451 6953604 7946976 9271472 11754902 13907208 17632353 18542944 23509804 27814416 35264706 41142157 47019608 55628832 70529412 82284314 94039216 123426471 141058824 164568628 188078432 246852942 282117648 329137256 493705884 564235296 658274512 987411768 1316549024 1974823536 3949647072