Search a number
-
+
4545066240 = 2832511133189
BaseRepresentation
bin1000011101110100…
…00011010100000000
3102201202100021202200
410032322003110000
533302014104430
62031000313200
7220426265661
oct41672032400
912652307680
104545066240
111a226315a0
12a6a172800
13575825310
143118bb368
151b9041460
hex10ee83500

4545066240 has 864 divisors, whose sum is σ = 19284894720. Its totient is φ = 973209600.

The previous prime is 4545066217. The next prime is 4545066257. The reversal of 4545066240 is 426605454.

4545066240 is a `hidden beast` number, since 4 + 54 + 506 + 62 + 40 = 666.

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 = 4545066195 and 4545066204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51068116 + ... + 51068204.

It is an arithmetic number, because the mean of its divisors is an integer number (22320480).

Almost surely, 24545066240 is an apocalyptic number.

4545066240 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 4545066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642447360).

4545066240 is an abundant number, since it is smaller than the sum of its proper divisors (14739828480).

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

4545066240 is a wasteful number, since it uses less digits than its factorization.

4545066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4545066240 is about 67417.1064344948. The cubic root of 4545066240 is about 1656.4566408557.

The spelling of 4545066240 in words is "four billion, five hundred forty-five million, sixty-six thousand, two hundred forty".