Search a number
-
+
4520528640 = 283251921087
BaseRepresentation
bin1000011010111000…
…11100101100000000
3102200001011122111200
410031130130230000
533224223404030
62024322341200
7220010600535
oct41534345400
912601148450
104520528640
111a0a7a2091
12a61aba800
13570713724
1430c530d8c
151b6ce5d60
hex10d71cb00

4520528640 has 324 divisors, whose sum is σ = 16522257024. Its totient is φ = 1140977664.

The previous prime is 4520528603. The next prime is 4520528653. The reversal of 4520528640 is 468250254.

It is a happy number.

4520528640 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 5 + 2 + 8 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 4520528595 and 4520528604.

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 35 ways as a sum of consecutive naturals, for example, 4158177 + ... + 4159263.

Almost surely, 24520528640 is an apocalyptic number.

4520528640 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 4520528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261128512).

4520528640 is an abundant number, since it is smaller than the sum of its proper divisors (12001728384).

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

4520528640 is a wasteful number, since it uses less digits than its factorization.

4520528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4520528640 is about 67234.8766638268. The cubic root of 4520528640 is about 1653.4703378200.

Adding to 4520528640 its reverse (468250254), we get a palindrome (4988778894).

The spelling of 4520528640 in words is "four billion, five hundred twenty million, five hundred twenty-eight thousand, six hundred forty".