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245161728 = 28357563
BaseRepresentation
bin11101001110011…
…01111100000000
3122002022111200000
432213031330000
51000230133403
640154400000
76034561140
oct1647157400
9562274600
10245161728
111164296a9
126a130000
133ba3a416
14247ba920
15167ca7a3
hexe9cdf00

245161728 has 216 divisors, whose sum is σ = 839250048. Its totient is φ = 69921792.

The previous prime is 245161711. The next prime is 245161739. The reversal of 245161728 is 827161542.

245161728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

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 = 245161692 and 245161701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435175 + ... + 435737.

Almost surely, 2245161728 is an apocalyptic number.

245161728 is a gapful number since it is divisible by the number (28) 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 245161728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419625024).

245161728 is an abundant number, since it is smaller than the sum of its proper divisors (594088320).

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

245161728 is an frugal number, since it uses more digits than its factorization.

245161728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 575 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 245161728 is about 15657.6412016625. The cubic root of 245161728 is about 625.8701292646.

It can be divided in two parts, 24516 and 1728, that added together give a square (26244 = 1622).

The spelling of 245161728 in words is "two hundred forty-five million, one hundred sixty-one thousand, seven hundred twenty-eight".