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248829320 = 23519327407
BaseRepresentation
bin11101101010011…
…01010110001000
3122100012211122202
432311031112020
51002200014240
640405135332
76111004625
oct1665152610
9570184582
10248829320
11118504173
126b3ba548
133c7228ac
142509334c
1516ca2315
hexed4d588

248829320 has 32 divisors (see below), whose sum is σ = 589334400. Its totient is φ = 94292928.

The previous prime is 248829307. The next prime is 248829349. The reversal of 248829320 is 23928842.

248829320 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 (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162944 + ... + 164463.

It is an arithmetic number, because the mean of its divisors is an integer number (18416700).

Almost surely, 2248829320 is an apocalyptic number.

248829320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248829320 is an abundant number, since it is smaller than the sum of its proper divisors (340505080).

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

248829320 is a wasteful number, since it uses less digits than its factorization.

248829320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327437 (or 327433 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 248829320 is about 15774.3247082086. The cubic root of 248829320 is about 628.9756765044.

The spelling of 248829320 in words is "two hundred forty-eight million, eight hundred twenty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 327407 654814 1309628 1637035 2619256 3274070 6220733 6548140 12441466 13096280 24882932 31103665 49765864 62207330 124414660 248829320