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248605520 = 2453107569
BaseRepresentation
bin11101101000101…
…10101101010000
3122022210110122212
432310112231100
51002120334040
640400251252
76106053302
oct1664265520
9568713585
10248605520
11118371009
126b310b28
133c674a77
1425035972
1516c5ad65
hexed16b50

248605520 has 20 divisors (see below), whose sum is σ = 578008020. Its totient is φ = 99442176.

The previous prime is 248605507. The next prime is 248605547. The reversal of 248605520 is 25506842.

248605520 is digitally balanced in base 2, 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 159567424 + 89038096 = 12632^2 + 9436^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1553705 + ... + 1553864.

It is an arithmetic number, because the mean of its divisors is an integer number (28900401).

Almost surely, 2248605520 is an apocalyptic number.

248605520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248605520 is an abundant number, since it is smaller than the sum of its proper divisors (329402500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248605520 is a wasteful number, since it uses less digits than its factorization.

248605520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107582 (or 3107576 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 248605520 is about 15767.2293063810. The cubic root of 248605520 is about 628.7870505829.

The spelling of 248605520 in words is "two hundred forty-eight million, six hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3107569 6215138 12430276 15537845 24860552 31075690 49721104 62151380 124302760 248605520