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248869404 = 223274572161
BaseRepresentation
bin11101101010101…
…11001000011100
3122100021212122100
432311113020130
51002202310104
640410045100
76111232530
oct1665271034
9570255570
10248869404
111185312a3
126b419790
133c737c04
14250a3bc0
1516cae139
hexed5721c

248869404 has 72 divisors (see below), whose sum is σ = 720862688. Its totient is φ = 70917120.

The previous prime is 248869381. The next prime is 248869417. The reversal of 248869404 is 404968842.

It is a self number, because there is not a number n which added to its sum of digits gives 248869404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114084 + ... + 116244.

Almost surely, 2248869404 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 248869404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360431344).

248869404 is an abundant number, since it is smaller than the sum of its proper divisors (471993284).

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

248869404 is a wasteful number, since it uses less digits than its factorization.

248869404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 248869404 is about 15775.5952027174. The cubic root of 248869404 is about 629.0094486597.

The spelling of 248869404 in words is "two hundred forty-eight million, eight hundred sixty-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 457 914 1371 1828 2161 2742 3199 4113 4322 5484 6398 6483 8226 8644 9597 12796 12966 15127 16452 19194 19449 25932 28791 30254 38388 38898 45381 57582 60508 77796 90762 115164 136143 181524 272286 544572 987577 1975154 2962731 3950308 5925462 6913039 8888193 11850924 13826078 17776386 20739117 27652156 35552772 41478234 62217351 82956468 124434702 248869404