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3824061921 = 3468712
BaseRepresentation
bin1110001111101110…
…1000110111100001
3100212111122110210000
43203323220313201
530312424440141
61431242530213
7163522663401
oct34373506741
910774573700
103824061921
111692646359
128a8806969
1348c340644
14283c36801
15175ac05b6
hexe3ee8de1

3824061921 has 15 divisors (see below), whose sum is σ = 5713319073. Its totient is φ = 2549003580.

The previous prime is 3824061907. The next prime is 3824061929. The reversal of 3824061921 is 1291604283.

The square root of 3824061921 is 61839.

It is a perfect power (a square), and thus also a powerful number.

3824061921 is a `hidden beast` number, since 38 + 2 + 4 + 0 + 619 + 2 + 1 = 666.

It is not a de Polignac number, because 3824061921 - 27 = 3824061793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3824061929) 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 14 ways as a sum of consecutive naturals, for example, 553116 + ... + 559986.

Almost surely, 23824061921 is an apocalyptic number.

3824061921 is the 61839-th square number.

3824061921 is the 30920-th centered octagonal number.

It is an amenable number.

3824061921 is a deficient number, since it is larger than the sum of its proper divisors (1889257152).

3824061921 is an frugal number, since it uses more digits than its factorization.

3824061921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13754 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 3824061921 is about 1563.7775427752. Note that the first 3 decimals are identical.

Multiplying 3824061921 by its sum of digits (36), we get a square (137666229156 = 3710342).

Multiplying 3824061921 by its product of nonzero digits (20736), we get a square (79295747993856 = 89048162).

The spelling of 3824061921 in words is "three billion, eight hundred twenty-four million, sixty-one thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 81 6871 20613 61839 185517 556551 47210641 141631923 424895769 1274687307 3824061921