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248380416 = 2103226951
BaseRepresentation
bin11101100110111…
…11110000000000
3122022101000212200
432303133300000
51002041133131
640351353200
76104125104
oct1663376000
9568330780
10248380416
11118227979
126b222800
133c5c647b
1424db7904
1516c142e6
hexecdfc00

248380416 has 66 divisors (see below), whose sum is σ = 717219672. Its totient is φ = 82790400.

The previous prime is 248380409. The next prime is 248380417. The reversal of 248380416 is 614083842.

248380416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248380417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4260 + ... + 22691.

Almost surely, 2248380416 is an apocalyptic number.

It is an amenable number.

248380416 is an abundant number, since it is smaller than the sum of its proper divisors (468839256).

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

248380416 is a wasteful number, since it uses less digits than its factorization.

248380416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26977 (or 26956 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 248380416 is about 15760.0893398483. The cubic root of 248380416 is about 628.5972113785.

The spelling of 248380416 in words is "two hundred forty-eight million, three hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 26951 53902 80853 107804 161706 215608 242559 323412 431216 485118 646824 862432 970236 1293648 1724864 1940472 2587296 3449728 3880944 5174592 6899456 7761888 10349184 13798912 15523776 20698368 27597824 31047552 41396736 62095104 82793472 124190208 248380416