Search a number
-
+
250505052 = 223722318523
BaseRepresentation
bin11101110111001…
…10011101011100
3122110100222022220
432323212131130
51003112130202
640505105340
76131154300
oct1673463534
9573328286
10250505052
11119449176
126ba88250
133cb8b555
14253abd00
1516ed3abc
hexeee675c

250505052 has 72 divisors (see below), whose sum is σ = 709543296. Its totient is φ = 68457312.

The previous prime is 250505051. The next prime is 250505069.

250505052 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250505051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4263 + ... + 22785.

It is an arithmetic number, because the mean of its divisors is an integer number (9854768).

Almost surely, 2250505052 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 250505052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354771648).

250505052 is an abundant number, since it is smaller than the sum of its proper divisors (459038244).

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

250505052 is a wasteful number, since it uses less digits than its factorization.

250505052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18567 (or 18558 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

The square root of 250505052 is about 15827.3513892881. The cubic root of 250505052 is about 630.3844566961.

The spelling of 250505052 in words is "two hundred fifty million, five hundred five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1932 2254 3381 4508 6762 13524 18523 37046 55569 74092 111138 129661 222276 259322 388983 426029 518644 777966 852058 907627 1278087 1555932 1704116 1815254 2556174 2722881 2982203 3630508 5112348 5445762 5964406 8946609 10891524 11928812 17893218 20875421 35786436 41750842 62626263 83501684 125252526 250505052