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248379320 = 2357887069
BaseRepresentation
bin11101100110111…
…11011110111000
3122022100222101002
432303133132320
51002041114240
640351344132
76104121650
oct1663373670
9568328332
10248379320
11118227072
126b222048
133c5c5b17
1424db7360
1516c13d15
hexecdf7b8

248379320 has 32 divisors (see below), whose sum is σ = 638690400. Its totient is φ = 85158528.

The previous prime is 248379289. The next prime is 248379337. The reversal of 248379320 is 23973842.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443255 + ... + 443814.

It is an arithmetic number, because the mean of its divisors is an integer number (19959075).

Almost surely, 2248379320 is an apocalyptic number.

248379320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248379320 is an abundant number, since it is smaller than the sum of its proper divisors (390311080).

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

248379320 is a wasteful number, since it uses less digits than its factorization.

248379320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887087 (or 887083 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 248379320 is about 15760.0545684334. The cubic root of 248379320 is about 628.5962867973.

The spelling of 248379320 in words is "two hundred forty-eight million, three hundred seventy-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 887069 1774138 3548276 4435345 6209483 7096552 8870690 12418966 17741380 24837932 31047415 35482760 49675864 62094830 124189660 248379320