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4925000640 = 2635717192269
BaseRepresentation
bin1001001011000110…
…11000101111000000
3110201020020221210010
410211203120233000
540041300010030
62132411504520
7233021546310
oct44543305700
913636227703
104925000640
1120a804196a
12b55458140
1360645c681
1434a13b440
151dc58e6b0
hex1258d8bc0

4925000640 has 448 divisors, whose sum is σ = 19926604800. Its totient is φ = 1003290624.

The previous prime is 4925000611. The next prime is 4925000671. The reversal of 4925000640 is 460005294.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4925000598 and 4925000607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2169426 + ... + 2171694.

Almost surely, 24925000640 is an apocalyptic number.

4925000640 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 4925000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963302400).

4925000640 is an abundant number, since it is smaller than the sum of its proper divisors (15001604160).

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

4925000640 is a wasteful number, since it uses less digits than its factorization.

4925000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4925000640 is about 70178.3487979020. The cubic root of 4925000640 is about 1701.3830313954.

The spelling of 4925000640 in words is "four billion, nine hundred twenty-five million, six hundred forty", and thus it is an aban number.