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4213254528 = 2735737523
BaseRepresentation
bin1111101100100001…
…0010100110000000
3101212121222111200000
43323020102212000
532112043121103
61534024400000
7206260033620
oct37310224600
911777874600
104213254528
1118722aa53a
12997016000
13521b69a22
142bd7c6880
15199d4baa3
hexfb212980

4213254528 has 384 divisors, whose sum is σ = 14785854720. Its totient is φ = 1169012736.

The previous prime is 4213254527. The next prime is 4213254553. The reversal of 4213254528 is 8254523124.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 4213254492 and 4213254501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213254527) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8055675 + ... + 8056197.

It is an arithmetic number, because the mean of its divisors is an integer number (38504830).

Almost surely, 24213254528 is an apocalyptic number.

4213254528 is a gapful number since it is divisible by the number (48) 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 4213254528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392927360).

4213254528 is an abundant number, since it is smaller than the sum of its proper divisors (10572600192).

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

4213254528 is an equidigital number, since it uses as much as digits as its factorization.

4213254528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 572 counting only the distinct ones).

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

The square root of 4213254528 is about 64909.5873350001. The cubic root of 4213254528 is about 1615.1241046274.

The spelling of 4213254528 in words is "four billion, two hundred thirteen million, two hundred fifty-four thousand, five hundred twenty-eight".