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444057125 = 536158237
BaseRepresentation
bin11010011101111…
…100011000100101
31010221120102212012
4122131330120211
51402134312000
6112021404005
714001265121
oct3235743045
91127512765
10444057125
11208727766
12104869605
1370cc89c5
1442d92581
1528eb7735
hex1a77c625

444057125 has 16 divisors (see below), whose sum is σ = 563277936. Its totient is φ = 349416000.

The previous prime is 444057079. The next prime is 444057137. The reversal of 444057125 is 521750444.

It can be written as a sum of positive squares in 8 ways, for example, as 211586116 + 232471009 = 14546^2 + 15247^2 .

It is not a de Polignac number, because 444057125 - 216 = 443991589 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444057091 and 444057100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21494 + ... + 36743.

It is an arithmetic number, because the mean of its divisors is an integer number (35204871).

Almost surely, 2444057125 is an apocalyptic number.

It is an amenable number.

444057125 is a deficient number, since it is larger than the sum of its proper divisors (119220811).

444057125 is an equidigital number, since it uses as much as digits as its factorization.

444057125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58313 (or 58303 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The square root of 444057125 is about 21072.6629783708. The cubic root of 444057125 is about 762.9210788983.

The spelling of 444057125 in words is "four hundred forty-four million, fifty-seven thousand, one hundred twenty-five".

Divisors: 1 5 25 61 125 305 1525 7625 58237 291185 1455925 3552457 7279625 17762285 88811425 444057125