Search a number
-
+
248190852 = 223713227281
BaseRepresentation
bin11101100101100…
…01011110000100
3122022000101211210
432302301132010
51002014101402
640343331420
76102405330
oct1662613604
9568011753
10248190852
11118108508
126b150b70
133c55b0c0
1424d687c0
1516bc806c
hexecb1784

248190852 has 48 divisors (see below), whose sum is σ = 712756352. Its totient is φ = 65456640.

The previous prime is 248190851. The next prime is 248190853. The reversal of 248190852 is 258091842.

248190852 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248190851) and next prime (248190853).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 248190852.

It is not an unprimeable number, because it can be changed into a prime (248190851) 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, 112549 + ... + 114732.

Almost surely, 2248190852 is an apocalyptic number.

It is an amenable number.

248190852 is an abundant number, since it is smaller than the sum of its proper divisors (464565500).

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

248190852 is a wasteful number, since it uses less digits than its factorization.

248190852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227308 (or 227306 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 248190852 is about 15754.0741397265. The cubic root of 248190852 is about 628.4372554921.

The spelling of 248190852 in words is "two hundred forty-eight million, one hundred ninety thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 227281 454562 681843 909124 1363686 1590967 2727372 2954653 3181934 4772901 5909306 6363868 8863959 9545802 11818612 17727918 19091604 20682571 35455836 41365142 62047713 82730284 124095426 248190852