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25798480 = 245389829
BaseRepresentation
bin110001001101…
…0011101010000
31210112200212021
41202122131100
523101022410
62320541224
7432166141
oct142323520
953480767
1025798480
1113620864
128781814
135463796
1435d7ac8
1523e8eda
hex189a750

25798480 has 40 divisors (see below), whose sum is σ = 60208200. Its totient is φ = 10280448.

The previous prime is 25798427. The next prime is 25798511. The reversal of 25798480 is 8489752.

It can be written as a sum of positive squares in 4 ways, for example, as 1236544 + 24561936 = 1112^2 + 4956^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30706 + ... + 31534.

It is an arithmetic number, because the mean of its divisors is an integer number (1505205).

Almost surely, 225798480 is an apocalyptic number.

25798480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25798480 is an abundant number, since it is smaller than the sum of its proper divisors (34409720).

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

25798480 is a wasteful number, since it uses less digits than its factorization.

25798480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 25798480 is about 5079.2204126224. The cubic root of 25798480 is about 295.4822333887.

It can be divided in two parts, 257984 and 80, that added together give a square (258064 = 5082).

The spelling of 25798480 in words is "twenty-five million, seven hundred ninety-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 389 778 829 1556 1658 1945 3112 3316 3890 4145 6224 6632 7780 8290 13264 15560 16580 31120 33160 66320 322481 644962 1289924 1612405 2579848 3224810 5159696 6449620 12899240 25798480