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2480625 = 345472
BaseRepresentation
bin1001011101100111110001
311200000210000
421131213301
51113340000
6125100213
730041100
oct11354761
94600700
102480625
111444804
129b7669
1368b134
14488037
15340000
hex25d9f1

2480625 has 75 divisors (see below), whose sum is σ = 5386557. Its totient is φ = 1134000.

The previous prime is 2480617. The next prime is 2480663. The reversal of 2480625 is 5260842.

The square root of 2480625 is 1575.

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

It can be written as a sum of positive squares in 2 ways, for example, as 194481 + 2286144 = 441^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 2480625 - 23 = 2480617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 74 ways as a sum of consecutive naturals, for example, 354372 + ... + 354378.

22480625 is an apocalyptic number.

2480625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2480625 is the 1575-th square number.

2480625 is the 788-th centered octagonal number.

It is an amenable number.

2480625 is an abundant number, since it is smaller than the sum of its proper divisors (2905932).

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

2480625 is an frugal number, since it uses more digits than its factorization.

2480625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 2480625 is about 135.3693588859.

The spelling of 2480625 in words is "two million, four hundred eighty thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 125 135 147 175 189 225 245 315 375 405 441 525 567 625 675 735 875 945 1125 1225 1323 1575 1875 2025 2205 2625 2835 3375 3675 3969 4375 4725 5625 6125 6615 7875 10125 11025 13125 14175 16875 18375 19845 23625 30625 33075 39375 50625 55125 70875 91875 99225 118125 165375 275625 354375 496125 826875 2480625