Search a number
-
+
25772880 = 2435723229
BaseRepresentation
bin110001001010…
…0001101010000
31210111101202010
41202110031100
523044213010
62320222520
7432031410
oct142241520
953441663
1025772880
1113603601
12876aa40
135454c33
1435cc640
1523e1620
hex1894350

25772880 has 240 divisors, whose sum is σ = 98743680. Its totient is φ = 5440512.

The previous prime is 25772863. The next prime is 25772891. The reversal of 25772880 is 8827752.

25772880 = T125 + T126 + ... + T538.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888706 + ... + 888734.

It is an arithmetic number, because the mean of its divisors is an integer number (411432).

Almost surely, 225772880 is an apocalyptic number.

25772880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25772880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49371840).

25772880 is an abundant number, since it is smaller than the sum of its proper divisors (72970800).

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

25772880 is a wasteful number, since it uses less digits than its factorization.

25772880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 25772880 is about 5076.6997153663. The cubic root of 25772880 is about 295.3844647268.

It can be divided in two parts, 257 and 72880, that added together give a palindrome (73137).

The spelling of 25772880 in words is "twenty-five million, seven hundred seventy-two thousand, eight hundred eighty".