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4048344417 = 313676592351
BaseRepresentation
bin1111000101001100…
…1101010101100001
3101110010200012112010
43301103031111201
531242334010132
61505414023133
7202215234255
oct36123152541
911403605463
104048344417
111798204097
1294b947aa9
134c694a390
142a593a265
1518a6246cc
hexf14cd561

4048344417 has 32 divisors (see below), whose sum is σ = 5911234560. Its totient is φ = 2449339200.

The previous prime is 4048344409. The next prime is 4048344427. The reversal of 4048344417 is 7144438404.

It is a happy number.

4048344417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4048344417 - 23 = 4048344409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4048344427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1720792 + ... + 1723142.

It is an arithmetic number, because the mean of its divisors is an integer number (184726080).

Almost surely, 24048344417 is an apocalyptic number.

It is an amenable number.

4048344417 is a deficient number, since it is larger than the sum of its proper divisors (1862890143).

4048344417 is a wasteful number, since it uses less digits than its factorization.

4048344417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093.

The product of its (nonzero) digits is 172032, while the sum is 39.

The square root of 4048344417 is about 63626.6014886855. The cubic root of 4048344417 is about 1593.7706242375.

The spelling of 4048344417 in words is "four billion, forty-eight million, three hundred forty-four thousand, four hundred seventeen".

Divisors: 1 3 13 39 67 201 659 871 1977 2351 2613 7053 8567 25701 30563 44153 91689 132459 157517 472551 573989 1549309 1721967 2047721 4647927 6143163 20141017 60423051 103803703 311411109 1349448139 4048344417