Search a number
-
+
250552720 = 245111012819
BaseRepresentation
bin11101110111100…
…10000110010000
3122110110101201101
432323302012100
51003120141340
640510114144
76131443255
oct1673620620
9573411641
10250552720
11119480a70
126baab954
133cba7162
14253c142c
1516ee2c9a
hexeef2190

250552720 has 80 divisors (see below), whose sum is σ = 642012480. Its totient is φ = 90176000.

The previous prime is 250552703. The next prime is 250552727. The reversal of 250552720 is 27255052.

250552720 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 (80).

It is not an unprimeable number, because it can be changed into a prime (250552727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87471 + ... + 90289.

It is an arithmetic number, because the mean of its divisors is an integer number (8025156).

Almost surely, 2250552720 is an apocalyptic number.

250552720 is a gapful number since it is divisible by the number (20) 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 250552720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321006240).

250552720 is an abundant number, since it is smaller than the sum of its proper divisors (391459760).

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

250552720 is a wasteful number, since it uses less digits than its factorization.

250552720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 250552720 is about 15828.8571918506. The cubic root of 250552720 is about 630.4244389376.

It can be divided in two parts, 2505 and 52720, that added together give a square (55225 = 2352).

The spelling of 250552720 in words is "two hundred fifty million, five hundred fifty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 2819 4040 4444 5555 5638 8080 8888 11110 11276 14095 17776 22220 22552 28190 31009 44440 45104 56380 62018 88880 112760 124036 155045 225520 248072 284719 310090 496144 569438 620180 1138876 1240360 1423595 2277752 2480720 2847190 3131909 4555504 5694380 6263818 11388760 12527636 15659545 22777520 25055272 31319090 50110544 62638180 125276360 250552720