Search a number
-
+
24725980 = 2252989479
BaseRepresentation
bin101111001010…
…0100111011100
31201112012200001
41132110213130
522312212410
62241544044
7420111256
oct136244734
951465601
1024725980
1112a58aa4
128345024
135179576
1433d8cd6
15228633a
hex17949dc

24725980 has 48 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 9422336.

The previous prime is 24725957. The next prime is 24725983. The reversal of 24725980 is 8952742.

It is a super-3 number, since 3×247259803 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24725983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51381 + ... + 51859.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 224725980 is an apocalyptic number.

24725980 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 24725980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

24725980 is an abundant number, since it is smaller than the sum of its proper divisors (29706020).

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

24725980 is a wasteful number, since it uses less digits than its factorization.

24725980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 24725980 is about 4972.5224986922. The cubic root of 24725980 is about 291.3295275467.

The spelling of 24725980 in words is "twenty-four million, seven hundred twenty-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 178 290 356 445 479 580 890 958 1780 1916 2395 2581 4790 5162 9580 10324 12905 13891 25810 27782 42631 51620 55564 69455 85262 138910 170524 213155 277820 426310 852620 1236299 2472598 4945196 6181495 12362990 24725980