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3925240704 = 27327111719137
BaseRepresentation
bin1110100111110110…
…0110101110000000
3101010120000212222100
43221331212232000
531014330200304
61445255310400
7166161665310
oct35175465600
911116025870
103925240704
111734772490
1291667b400
134a72a7848
14293453440
1517e909439
hexe9f66b80

3925240704 has 768 divisors, whose sum is σ = 15810163200. Its totient is φ = 902430720.

The previous prime is 3925240691. The next prime is 3925240729. The reversal of 3925240704 is 4070425293.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28651324 + ... + 28651460.

It is an arithmetic number, because the mean of its divisors is an integer number (20586150).

Almost surely, 23925240704 is an apocalyptic number.

3925240704 is a gapful number since it is divisible by the number (34) 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 3925240704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905081600).

3925240704 is an abundant number, since it is smaller than the sum of its proper divisors (11884922496).

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

3925240704 is a wasteful number, since it uses less digits than its factorization.

3925240704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3925240704 is about 62651.7414283115. The cubic root of 3925240704 is about 1577.4493782663.

Adding to 3925240704 its reverse (4070425293), we get a palindrome (7995665997).

The spelling of 3925240704 in words is "three billion, nine hundred twenty-five million, two hundred forty thousand, seven hundred four".