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4525960320 = 273357173171
BaseRepresentation
bin1000011011100010…
…01010110010000000
3102200102101121101000
410031301022302000
533232121212240
62025035012000
7220105012410
oct41561126200
912612347330
104525960320
111a12871a82
12a6389a000
13571895b3b
1430d146640
151b751a430
hex10dc4ac80

4525960320 has 1024 divisors, whose sum is σ = 20304691200. Its totient is φ = 928972800.

The previous prime is 4525960319. The next prime is 4525960321. The reversal of 4525960320 is 230695254.

4525960320 is a `hidden beast` number, since 4 + 5 + 25 + 9 + 603 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4525960319) and next prime (4525960321).

It is a super-3 number, since 3×45259603203 (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4525960321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63745885 + ... + 63745955.

It is an arithmetic number, because the mean of its divisors is an integer number (19828800).

Almost surely, 24525960320 is an apocalyptic number.

4525960320 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 4525960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10152345600).

4525960320 is an abundant number, since it is smaller than the sum of its proper divisors (15778730880).

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

4525960320 is a wasteful number, since it uses less digits than its factorization.

4525960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 4525960320 is about 67275.2578590376. The cubic root of 4525960320 is about 1654.1323199143.

The spelling of 4525960320 in words is "four billion, five hundred twenty-five million, nine hundred sixty thousand, three hundred twenty".