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4193469049 = 72112294
BaseRepresentation
bin1111100111110011…
…0100001001111001
3101211020202022002111
43321330310021321
532042012002144
61532040332321
7205626620200
oct37174641171
911736668074
104193469049
111862116400
129904740a1
1351aa30143
142bad16237
1519823e534
hexf9f34279

4193469049 has 45 divisors (see below), whose sum is σ = 5553393321. Its totient is φ = 3154961040.

The previous prime is 4193469047. The next prime is 4193469061. The reversal of 4193469049 is 9409643914.

The square root of 4193469049 is 64757.

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

4193469049 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9966649 + 4183502400 = 3157^2 + 64680^2 .

It is not a de Polignac number, because 4193469049 - 21 = 4193469047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 4193468993 and 4193469011.

It is not an unprimeable number, because it can be changed into a prime (4193469047) 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 44 ways as a sum of consecutive naturals, for example, 144602367 + ... + 144602395.

Almost surely, 24193469049 is an apocalyptic number.

4193469049 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4193469049 is the 64757-th square number.

4193469049 is the 32379-th centered octagonal number.

It is an amenable number.

4193469049 is a deficient number, since it is larger than the sum of its proper divisors (1359924272).

4193469049 is an frugal number, since it uses more digits than its factorization.

4193469049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

The cubic root of 4193469049 is about 1612.5919246035.

Multiplying 4193469049 by its sum of digits (49), we get a square (205479983401 = 4532992).

4193469049 divided by its sum of digits (49) gives a square (85581001 = 92512).

The spelling of 4193469049 in words is "four billion, one hundred ninety-three million, four hundred sixty-nine thousand, forty-nine".

Divisors: 1 7 11 29 49 77 121 203 319 539 841 847 1421 2233 3509 5887 5929 9251 15631 24389 24563 41209 64757 101761 170723 171941 268279 453299 707281 712327 1195061 1877953 2951069 4950967 4986289 7780091 13145671 20657483 34656769 54460637 85581001 144602381 381224459 599067007 4193469049