Search a number
-
+
2475450432 = 263271383569
BaseRepresentation
bin1001001110001100…
…0110000001000000
320101111222220121100
42103203012001000
520032203403212
61045345254400
7115225660440
oct22343060100
96344886540
102475450432
111060366604
12591034400
13305b15290
14196aa0120
15e74cbbdc
hex938c6040

2475450432 has 336 divisors, whose sum is σ = 8853586560. Its totient is φ = 643866624.

The previous prime is 2475450431. The next prime is 2475450443. The reversal of 2475450432 is 2340545742.

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

It is a super-2 number, since 2×24754504322 = 12255709682577973248, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2475450431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4350244 + ... + 4350812.

It is an arithmetic number, because the mean of its divisors is an integer number (26349960).

Almost surely, 22475450432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2475450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426793280).

2475450432 is an abundant number, since it is smaller than the sum of its proper divisors (6378136128).

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

2475450432 is a wasteful number, since it uses less digits than its factorization.

2475450432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 2475450432 is about 49753.8986613110. The cubic root of 2475450432 is about 1352.7516681975.

The spelling of 2475450432 in words is "two billion, four hundred seventy-five million, four hundred fifty thousand, four hundred thirty-two".