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4464057437 = 72376773637
BaseRepresentation
bin1000010100001010…
…00001110001011101
3102112002220121120122
410022011001301131
533120244314222
62014544124325
7215423601500
oct41205016135
912462817518
104464057437
111990931474
12a470066a5
13561b00a08
14304c31137
151b1d8da42
hex10a141c5d

4464057437 has 24 divisors (see below), whose sum is σ = 5342577624. Its totient is φ = 3716399232.

The previous prime is 4464057431. The next prime is 4464057449. The reversal of 4464057437 is 7347504644.

It can be written as a sum of positive squares in 4 ways, for example, as 1695298276 + 2768759161 = 41174^2 + 52619^2 .

It is not a de Polignac number, because 4464057437 - 226 = 4396948573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4464057431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225583 + ... + 1229219.

It is an arithmetic number, because the mean of its divisors is an integer number (222607401).

Almost surely, 24464057437 is an apocalyptic number.

It is an amenable number.

4464057437 is a deficient number, since it is larger than the sum of its proper divisors (878520187).

4464057437 is a wasteful number, since it uses less digits than its factorization.

4464057437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 44.

The square root of 4464057437 is about 66813.6021854832. The cubic root of 4464057437 is about 1646.5563239990.

The spelling of 4464057437 in words is "four billion, four hundred sixty-four million, fifty-seven thousand, four hundred thirty-seven".

Divisors: 1 7 37 49 259 677 1813 3637 4739 25049 25459 33173 134569 175343 178213 941983 1227401 2462249 6593881 17235743 91103213 120650201 637722491 4464057437