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2088025 = 52174
BaseRepresentation
bin111111101110001011001
310221002020021
413331301121
51013304100
6112430441
723514352
oct7756131
93832207
102088025
1111a6845
12848421
13581524
143c4d29
152b3a1a
hex1fdc59

2088025 has 15 divisors (see below), whose sum is σ = 2750971. Its totient is φ = 1572160.

The previous prime is 2088013. The next prime is 2088061. The reversal of 2088025 is 5208802.

The square root of 2088025 is 1445.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 227529 + 1860496 = 477^2 + 1364^2 .

It is not a de Polignac number, because 2088025 - 25 = 2087993 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 122817 + ... + 122833.

22088025 is an apocalyptic number.

2088025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2088025 is the 1445-th square number.

2088025 is the 723-rd centered octagonal number.

It is an amenable number.

2088025 is a deficient number, since it is larger than the sum of its proper divisors (662946).

2088025 is an frugal number, since it uses more digits than its factorization.

2088025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The cubic root of 2088025 is about 127.8140406774.

Multiplying 2088025 by its sum of digits (25), we get a 4-th power (52200625 = 854).

2088025 divided by its sum of digits (25) gives a 4-th power (83521 = 174).

The spelling of 2088025 in words is "two million, eighty-eight thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 4913 7225 24565 83521 122825 417605 2088025