Search a number
-
+
248638830 = 235113672053
BaseRepresentation
bin11101101000111…
…10110101101110
3122022212011100120
432310132311232
51002122420310
640401105410
76106252356
oct1664366556
9568764316
10248638830
11118394040
126b328266
133c686c8b
1425043b66
1516c65b70
hexed1ed6e

248638830 has 64 divisors (see below), whose sum is σ = 653073408. Its totient is φ = 60082560.

The previous prime is 248638829. The next prime is 248638903. The reversal of 248638830 is 38836842.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120084 + ... + 122136.

It is an arithmetic number, because the mean of its divisors is an integer number (10204272).

Almost surely, 2248638830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248638830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326536704).

248638830 is an abundant number, since it is smaller than the sum of its proper divisors (404434578).

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

248638830 is a wasteful number, since it uses less digits than its factorization.

248638830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441.

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 248638830 is about 15768.2855758006. The cubic root of 248638830 is about 628.8151325033.

The spelling of 248638830 in words is "two hundred forty-eight million, six hundred thirty-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 367 734 1101 1835 2053 2202 3670 4037 4106 5505 6159 8074 10265 11010 12111 12318 20185 20530 22583 24222 30795 40370 45166 60555 61590 67749 112915 121110 135498 225830 338745 677490 753451 1506902 2260353 3767255 4520706 7534510 8287961 11301765 16575922 22603530 24863883 41439805 49727766 82879610 124319415 248638830