Search a number
-
+
925928640 = 263257133533
BaseRepresentation
bin110111001100001…
…000110011000000
32101112022001022100
4313030020303000
53344014204030
6231513510400
731642156260
oct6714106300
92345261270
10925928640
1143573198a
1221a112400
13119aa4490
148ad897a0
155644e360
hex37308cc0

925928640 has 336 divisors, whose sum is σ = 3920874048. Its totient is φ = 195305472.

The previous prime is 925928639. The next prime is 925928657. The reversal of 925928640 is 46829529.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260314 + ... + 263846.

It is an arithmetic number, because the mean of its divisors is an integer number (11669268).

Almost surely, 2925928640 is an apocalyptic number.

925928640 is a gapful number since it is divisible by the number (90) 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 925928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960437024).

925928640 is an abundant number, since it is smaller than the sum of its proper divisors (2994945408).

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

925928640 is a wasteful number, since it uses less digits than its factorization.

925928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 925928640 is about 30429.0755692643. The cubic root of 925928640 is about 974.6735317234.

The spelling of 925928640 in words is "nine hundred twenty-five million, nine hundred twenty-eight thousand, six hundred forty".