Search a number
-
+
2525420416 = 27198312511
BaseRepresentation
bin1001011010000110…
…1101101110000000
320112000000122112111
42112201231232000
520133001423131
61054332305104
7116403501511
oct22641555600
96460018474
102525420416
111086596812
125a5912194
1331328cb0c
1419d58aa08
15eba9cab1
hex9686db80

2525420416 has 64 divisors (see below), whose sum is σ = 5360140800. Its totient is φ = 1181744640.

The previous prime is 2525420411. The next prime is 2525420477. The reversal of 2525420416 is 6140245252.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×25254204162 = 12755496555099226112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525420411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195601 + ... + 208111.

It is an arithmetic number, because the mean of its divisors is an integer number (83752200).

Almost surely, 22525420416 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 2525420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680070400).

2525420416 is an abundant number, since it is smaller than the sum of its proper divisors (2834720384).

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

2525420416 is a wasteful number, since it uses less digits than its factorization.

2525420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12627 (or 12615 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 2525420416 is about 50253.5612270414. The cubic root of 2525420416 is about 1361.7934125597.

Adding to 2525420416 its reverse (6140245252), we get a palindrome (8665665668).

The spelling of 2525420416 in words is "two billion, five hundred twenty-five million, four hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 128 152 166 304 332 608 664 1216 1328 1577 2432 2656 3154 5312 6308 10624 12511 12616 25022 25232 50044 50464 100088 100928 200176 201856 237709 400352 475418 800704 950836 1038413 1601408 1901672 2076826 3803344 4153652 7606688 8307304 15213376 16614608 19729847 30426752 33229216 39459694 66458432 78919388 132916864 157838776 315677552 631355104 1262710208 2525420416