Search a number
-
+
3824481465 = 325713192681
BaseRepresentation
bin1110001111110100…
…1111010010111001
3100212112102210021200
43203331033102321
530313031401330
61431255524413
7163526361510
oct34375172271
910775383250
103824481465
111692902592
128a8989709
1348c4595ac
14283d05677
15175b54a60
hexe3f4f4b9

3824481465 has 48 divisors (see below), whose sum is σ = 7634030976. Its totient is φ = 1734969600.

The previous prime is 3824481383. The next prime is 3824481487. The reversal of 3824481465 is 5641844283.

3824481465 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3824481465 - 29 = 3824480953 is a prime.

It is a super-2 number, since 2×38244814652 = 29253316952257092450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3824481465.

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, 5076 + ... + 87605.

It is an arithmetic number, because the mean of its divisors is an integer number (159042312).

Almost surely, 23824481465 is an apocalyptic number.

3824481465 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3824481465 is a deficient number, since it is larger than the sum of its proper divisors (3809549511).

3824481465 is a wasteful number, since it uses less digits than its factorization.

3824481465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92830 (or 92827 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 3824481465 is about 61842.3921351689. The cubic root of 3824481465 is about 1563.8347288693.

The spelling of 3824481465 in words is "three billion, eight hundred twenty-four million, four hundred eighty-one thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 131 315 393 655 917 1179 1965 2751 4585 5895 8253 13755 41265 92681 278043 463405 648767 834129 1390215 1946301 3243835 4170645 5838903 9731505 12141211 29194515 36423633 60706055 84988477 109270899 182118165 254965431 424942385 546354495 764896293 1274827155 3824481465