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248941236 = 223238310867
BaseRepresentation
bin11101101011010…
…00101010110100
3122100102112011210
432311220222310
51002212104421
640411401420
76111652125
oct1665505264
9570375153
10248941236
11118580265
126b453270
133c76180b
14250c204c
1516cc5576
hexed68ab4

248941236 has 48 divisors (see below), whose sum is σ = 613476864. Its totient is φ = 78409056.

The previous prime is 248941229. The next prime is 248941271. The reversal of 248941236 is 632149842.

It is a junction number, because it is equal to n+sod(n) for n = 248941194 and 248941203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17475 + ... + 28341.

It is an arithmetic number, because the mean of its divisors is an integer number (12780768).

Almost surely, 2248941236 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 248941236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306738432).

248941236 is an abundant number, since it is smaller than the sum of its proper divisors (364535628).

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

248941236 is a wasteful number, since it uses less digits than its factorization.

248941236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10980 (or 10978 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 248941236 is about 15777.8717195951. The cubic root of 248941236 is about 629.0699605314.

The spelling of 248941236 in words is "two hundred forty-eight million, nine hundred forty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 23 46 69 83 92 138 166 249 276 332 498 996 1909 3818 5727 7636 10867 11454 21734 22908 32601 43468 65202 130404 249941 499882 749823 901961 999764 1499646 1803922 2705883 2999292 3607844 5411766 10823532 20745103 41490206 62235309 82980412 124470618 248941236