Search a number
-
+
25430004 = 2233415743
BaseRepresentation
bin110000100000…
…0011111110100
31202211222102000
41201000133310
523002230004
62305015300
7426102645
oct141003764
952758360
1025430004
1113399a36
128624530
135364b52
14353d6cc
152374c39
hex18407f4

25430004 has 48 divisors (see below), whose sum is σ = 67549440. Its totient is φ = 8268480.

The previous prime is 25429991. The next prime is 25430017. The reversal of 25430004 is 40003452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25429991) and next prime (25430017).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 15 ways as a sum of consecutive naturals, for example, 1557 + ... + 7299.

It is an arithmetic number, because the mean of its divisors is an integer number (1407280).

Almost surely, 225430004 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 25430004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33774720).

25430004 is an abundant number, since it is smaller than the sum of its proper divisors (42119436).

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

25430004 is a wasteful number, since it uses less digits than its factorization.

25430004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 25430004 is about 5042.8170698529. The cubic root of 25430004 is about 294.0687053090.

Adding to 25430004 its reverse (40003452), we get a palindrome (65433456).

The spelling of 25430004 in words is "twenty-five million, four hundred thirty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 5743 11486 17229 22972 34458 51687 68916 103374 155061 206748 235463 310122 470926 620244 706389 941852 1412778 2119167 2825556 4238334 6357501 8476668 12715002 25430004