Search a number
-
+
250302528028 = 227411361160201
BaseRepresentation
bin1110100100011100110…
…0010111101000011100
3212221002000100212120001
43221013030113220130
513100104421344103
6310553135504044
724040505245450
oct3510714275034
9787060325501
10250302528028
1197175285013
1240615988024
131a7ac963567
14c186a82660
15679e67701d
hex3a47317a1c

250302528028 has 48 divisors (see below), whose sum is σ = 513194931648. Its totient is φ = 104578560000.

The previous prime is 250302528013. The next prime is 250302528037. The reversal of 250302528028 is 820825203052.

It is a happy number.

250302528028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1482328 + ... + 1642528.

It is an arithmetic number, because the mean of its divisors is an integer number (10691561076).

Almost surely, 2250302528028 is an apocalyptic number.

250302528028 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 250302528028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256597465824).

250302528028 is an abundant number, since it is smaller than the sum of its proper divisors (262892403620).

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

250302528028 is a wasteful number, since it uses less digits than its factorization.

250302528028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161614 (or 161612 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 250302528028 in words is "two hundred fifty billion, three hundred two million, five hundred twenty-eight thousand, twenty-eight".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 1148 1361 2722 5444 9527 19054 38108 55801 111602 160201 223204 320402 390607 640804 781214 1121407 1562428 2242814 4485628 6568241 13136482 26272964 45977687 91955374 183910748 218033561 436067122 872134244 1526234927 3052469854 6104939708 8939376001 17878752002 35757504004 62575632007 125151264014 250302528028