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48132025 = 5229197337
BaseRepresentation
bin1011011110011…
…0111110111001
310100120100201121
42313212332321
544310211100
64435345241
71123054414
oct267467671
9110510647
1048132025
1125195337
1214152221
139c830b6
14656cb7b
15435b51a
hex2de6fb9

48132025 has 24 divisors (see below), whose sum is σ = 62239320. Its totient is φ = 36879360.

The previous prime is 48132013. The next prime is 48132047. The reversal of 48132025 is 52023184.

It can be written as a sum of positive squares in 12 ways, for example, as 4782969 + 43349056 = 2187^2 + 6584^2 .

It is not a de Polignac number, because 48132025 - 29 = 48131513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142657 + ... + 142993.

It is an arithmetic number, because the mean of its divisors is an integer number (2593305).

Almost surely, 248132025 is an apocalyptic number.

It is an amenable number.

48132025 is a deficient number, since it is larger than the sum of its proper divisors (14107295).

48132025 is a wasteful number, since it uses less digits than its factorization.

48132025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 48132025 is about 6937.7247711335. The cubic root of 48132025 is about 363.7570154093.

It can be divided in two parts, 481 and 32025, that multiplied together give a triangular number (15404025 = T5550).

The spelling of 48132025 in words is "forty-eight million, one hundred thirty-two thousand, twenty-five".

Divisors: 1 5 25 29 145 197 337 725 985 1685 4925 5713 8425 9773 28565 48865 66389 142825 244325 331945 1659725 1925281 9626405 48132025