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3826522674 = 2331322291831
BaseRepresentation
bin1110010000010100…
…0001101000110010
3100212200021111022000
43210011001220302
530314042211144
61431411354430
7163552622532
oct34405015062
910780244260
103826522674
111693a77137
128a95b2a16
1348c9c2700
142842b74c2
15175e09769
hexe4141a32

3826522674 has 96 divisors (see below), whose sum is σ = 9253065600. Its totient is φ = 1171609920.

The previous prime is 3826522669. The next prime is 3826522723. The reversal of 3826522674 is 4762256283.

3826522674 is a `hidden beast` number, since 38 + 26 + 522 + 6 + 74 = 666.

It is a super-2 number, since 2×38265226742 = 29284551549272220552, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2088939 + ... + 2090769.

It is an arithmetic number, because the mean of its divisors is an integer number (96386100).

Almost surely, 23826522674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3826522674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626532800).

3826522674 is an abundant number, since it is smaller than the sum of its proper divisors (5426542926).

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

3826522674 is a wasteful number, since it uses less digits than its factorization.

3826522674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2078 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 3826522674 is about 61858.8932490713. The cubic root of 3826522674 is about 1564.1128969312.

The spelling of 3826522674 in words is "three billion, eight hundred twenty-six million, five hundred twenty-two thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 229 234 338 351 458 507 687 702 1014 1374 1521 1831 2061 2977 3042 3662 4122 4563 5493 5954 6183 8931 9126 10986 12366 16479 17862 23803 26793 32958 38701 47606 49437 53586 71409 77402 80379 98874 116103 142818 160758 214227 232206 309439 348309 419299 428454 618878 642681 696618 838598 928317 1044927 1257897 1285362 1856634 2089854 2515794 2784951 3773691 5450887 5569902 7547382 8354853 10901774 11321073 16352661 16709706 22642146 32705322 49057983 70861531 98115966 141723062 147173949 212584593 294347898 425169186 637753779 1275507558 1913261337 3826522674