Search a number
-
+
25382064 = 2432383277
BaseRepresentation
bin110000011010…
…0110010110000
31202202112122110
41200310302300
522444211224
62304005320
7425513121
oct140646260
952675573
1025382064
1113366a14
128600840
135349096
14352a048
152365929
hex1834cb0

25382064 has 80 divisors (see below), whose sum is σ = 69495552. Its totient is φ = 7966464.

The previous prime is 25382053. The next prime is 25382069. The reversal of 25382064 is 46028352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25382069) 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, 91494 + ... + 91770.

Almost surely, 225382064 is an apocalyptic number.

25382064 is a gapful number since it is divisible by the number (24) 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 25382064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34747776).

25382064 is an abundant number, since it is smaller than the sum of its proper divisors (44113488).

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

25382064 is a wasteful number, since it uses less digits than its factorization.

25382064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 25382064 is about 5038.0615319783. The cubic root of 25382064 is about 293.8837987728.

The spelling of 25382064 in words is "twenty-five million, three hundred eighty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 83 92 138 166 184 249 276 277 332 368 498 552 554 664 831 996 1104 1108 1328 1662 1909 1992 2216 3324 3818 3984 4432 5727 6371 6648 7636 11454 12742 13296 15272 19113 22908 22991 25484 30544 38226 45816 45982 50968 68973 76452 91632 91964 101936 137946 152904 183928 275892 305808 367856 528793 551784 1057586 1103568 1586379 2115172 3172758 4230344 6345516 8460688 12691032 25382064