Search a number
-
+
25084384 = 2513173547
BaseRepresentation
bin101111110110…
…0000111100000
31202012102022021
41133230013200
522410200014
62253351224
7423133213
oct137540740
952172267
1025084384
11131832a6
128498514
135273740
14348d77a
152307624
hex17ec1e0

25084384 has 48 divisors (see below), whose sum is σ = 56328048. Its totient is φ = 10893312.

The previous prime is 25084369. The next prime is 25084387. The reversal of 25084384 is 48348052.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25084387) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5299 + ... + 8845.

It is an arithmetic number, because the mean of its divisors is an integer number (1173501).

Almost surely, 225084384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25084384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28164024).

25084384 is an abundant number, since it is smaller than the sum of its proper divisors (31243664).

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

25084384 is a wasteful number, since it uses less digits than its factorization.

25084384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 25084384 is about 5008.4312913326. The cubic root of 25084384 is about 292.7303914476.

The spelling of 25084384 in words is "twenty-five million, eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 3547 7072 7094 14188 28376 46111 56752 60299 92222 113504 120598 184444 241196 368888 482392 737776 783887 964784 1475552 1567774 1929568 3135548 6271096 12542192 25084384