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3887404092 = 223211133124359
BaseRepresentation
bin1110011110110101…
…0001010000111100
3101000220211120220100
43213231101100330
530430133412332
61441424321100
7165222250425
oct34755212074
911026746810
103887404092
11171537a260
12905a73190
1349c4ba910
1428c40464c
1517b43367c
hexe7b5143c

3887404092 has 144 divisors (see below), whose sum is σ = 11917301760. Its totient is φ = 1052265600.

The previous prime is 3887404007. The next prime is 3887404097. The reversal of 3887404092 is 2904047883.

It is a super-2 number, since 2×38874040922 = 30223821148996688928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3887404097) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 147409 + ... + 171767.

It is an arithmetic number, because the mean of its divisors is an integer number (82759040).

Almost surely, 23887404092 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 3887404092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958650880).

3887404092 is an abundant number, since it is smaller than the sum of its proper divisors (8029897668).

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

3887404092 is a wasteful number, since it uses less digits than its factorization.

3887404092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24424 (or 24419 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3887404092 is about 62349.0504498665. The cubic root of 3887404092 is about 1572.3644969905.

The spelling of 3887404092 in words is "three billion, eight hundred eighty-seven million, four hundred four thousand, ninety-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 31 33 36 39 44 52 62 66 78 93 99 117 124 132 143 156 186 198 234 279 286 341 372 396 403 429 468 558 572 682 806 858 1023 1116 1209 1287 1364 1612 1716 2046 2418 2574 3069 3627 4092 4433 4836 5148 6138 7254 8866 12276 13299 14508 17732 24359 26598 39897 48718 53196 73077 79794 97436 146154 159588 219231 267949 292308 316667 438462 535898 633334 755129 803847 876924 950001 1071796 1266668 1510258 1607694 1900002 2265387 2411541 2850003 3020516 3215388 3483337 3800004 4530774 4823082 5700006 6796161 6966674 8306419 9061548 9646164 9816677 10450011 11400012 13592322 13933348 16612838 19633354 20900022 24919257 27184644 29450031 31350033 33225676 39266708 41800044 49838514 58900062 62700066 74757771 88350093 99677028 107983447 117800124 125400132 149515542 176700186 215966894 299031084 323950341 353400372 431933788 647900682 971851023 1295801364 1943702046 3887404092