Search a number
-
+
4520045376 = 2633721123211
BaseRepresentation
bin1000011010110101…
…00110101101000000
3102200000021002121000
410031122212231000
533224112423001
62024304132000
7220003515600
oct41532465500
912600232530
104520045376
111a0a4a1aa0
12a61907000
135705a4782
1430c446c00
151b6c4ca86
hex10d6a6b40

4520045376 has 672 divisors, whose sum is σ = 17679375360. Its totient is φ = 1117670400.

The previous prime is 4520045351. The next prime is 4520045377. The reversal of 4520045376 is 6735400254.

4520045376 is a `hidden beast` number, since 45 + 200 + 45 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4520045376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4520045377) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21421911 + ... + 21422121.

Almost surely, 24520045376 is an apocalyptic number.

4520045376 is a gapful number since it is divisible by the number (46) 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 4520045376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8839687680).

4520045376 is an abundant number, since it is smaller than the sum of its proper divisors (13159329984).

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

4520045376 is a wasteful number, since it uses less digits than its factorization.

4520045376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4520045376 is about 67231.2827186868. The cubic root of 4520045376 is about 1653.4114146845.

The spelling of 4520045376 in words is "four billion, five hundred twenty million, forty-five thousand, three hundred seventy-six".