Search a number
-
+
3920621922 = 232743769941
BaseRepresentation
bin1110100110101111…
…1111000101100010
3101010020100020012100
43221223333011202
531012134400142
61445012311230
7166104510420
oct35153770542
911106306170
103920621922
1117320a8308
12915012516
134a634b439
142929b0110
1517e2e5b4c
hexe9aff162

3920621922 has 96 divisors (see below), whose sum is σ = 9957467520. Its totient is φ = 1091543040.

The previous prime is 3920621909. The next prime is 3920621927. The reversal of 3920621922 is 2291260293.

3920621922 is a `hidden beast` number, since 3 + 9 + 2 + 0 + 621 + 9 + 22 = 666.

It is not an unprimeable number, because it can be changed into a prime (3920621927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4165972 + ... + 4166912.

It is an arithmetic number, because the mean of its divisors is an integer number (103723620).

Almost surely, 23920621922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3920621922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978733760).

3920621922 is an abundant number, since it is smaller than the sum of its proper divisors (6036845598).

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

3920621922 is a wasteful number, since it uses less digits than its factorization.

3920621922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3920621922 is about 62614.8698154041. The cubic root of 3920621922 is about 1576.8304137276.

The spelling of 3920621922 in words is "three billion, nine hundred twenty million, six hundred twenty-one thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 769 774 903 941 1538 1806 1882 2307 2709 2823 4614 5383 5418 5646 6587 6921 8469 10766 13174 13842 16149 16938 19761 32298 33067 39522 40463 48447 59283 66134 80926 96894 99201 118566 121389 198402 231469 242778 283241 297603 364167 462938 566482 595206 694407 723629 728334 849723 1388814 1447258 1699446 2083221 2170887 2549169 4166442 4341774 5065403 5098338 6512661 10130806 13025322 15196209 30392418 31116047 45588627 62232094 91177254 93348141 186696282 217812329 280044423 435624658 560088846 653436987 1306873974 1960310961 3920621922