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4925263200 = 253521113113127
BaseRepresentation
bin1001001011001000…
…11000110101100000
3110201020202021221120
410211210120311200
540041331410300
62132421252240
7233024021634
oct44544306540
913636667846
104925263200
1120a8201160
12b55564080
13606522030
1434a1a8dc4
151dc5e23a0
hex125918d60

4925263200 has 576 divisors, whose sum is σ = 19150774272. Its totient is φ = 1083801600.

The previous prime is 4925263193. The next prime is 4925263241. The reversal of 4925263200 is 23625294.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 38781537 + ... + 38781663.

It is an arithmetic number, because the mean of its divisors is an integer number (33247872).

Almost surely, 24925263200 is an apocalyptic number.

4925263200 is a gapful number since it is divisible by the number (40) 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 4925263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575387136).

4925263200 is an abundant number, since it is smaller than the sum of its proper divisors (14225511072).

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

4925263200 is a wasteful number, since it uses less digits than its factorization.

4925263200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 4925263200 is about 70180.2194353936. The cubic root of 4925263200 is about 1701.4132653806.

Adding to 4925263200 its reverse (23625294), we get a palindrome (4948888494).

The spelling of 4925263200 in words is "four billion, nine hundred twenty-five million, two hundred sixty-three thousand, two hundred".