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248424804 = 22326900689
BaseRepresentation
bin11101100111010…
…10100101100100
3122022110021202200
432303222211210
51002044043204
640352334500
76104401365
oct1663524544
9568407680
10248424804
11118258261
126b244430
133c610734
1424dc9b6c
1516c22539
hexecea964

248424804 has 18 divisors (see below), whose sum is σ = 627962790. Its totient is φ = 82808256.

The previous prime is 248424797. The next prime is 248424821. The reversal of 248424804 is 408424842.

It can be written as a sum of positive squares in only one way, i.e., 218744100 + 29680704 = 14790^2 + 5448^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6900689 = 248424804 / (2 + 4 + 8 + 4 + 2 + 4 + 8 + 0 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3450309 + ... + 3450380.

Almost surely, 2248424804 is an apocalyptic number.

It is an amenable number.

248424804 is an abundant number, since it is smaller than the sum of its proper divisors (379537986).

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

248424804 is a wasteful number, since it uses less digits than its factorization.

248424804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900699 (or 6900694 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 248424804 is about 15761.4975176853. The cubic root of 248424804 is about 628.6346546298.

It can be divided in two parts, 24842 and 4804, that added together give a triangular number (29646 = T243).

The spelling of 248424804 in words is "two hundred forty-eight million, four hundred twenty-four thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 6900689 13801378 20702067 27602756 41404134 62106201 82808268 124212402 248424804