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248838380 = 22572377279
BaseRepresentation
bin11101101010011…
…11100011101100
3122100020022002022
432311033203230
51002200312010
640405245312
76111043220
oct1665174354
9570208068
10248838380
1111850aa5a
126b403838
133c726a5b
1425096780
1516ca4d55
hexed4f8ec

248838380 has 48 divisors (see below), whose sum is σ = 623185920. Its totient is φ = 81605568.

The previous prime is 248838379. The next prime is 248838391. The reversal of 248838380 is 83838842.

It is a super-2 number, since 2×2488383802 = 123841078722048800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35420 + ... + 41859.

It is an arithmetic number, because the mean of its divisors is an integer number (12983040).

Almost surely, 2248838380 is an apocalyptic number.

248838380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248838380 is an abundant number, since it is smaller than the sum of its proper divisors (374347540).

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

248838380 is a wasteful number, since it uses less digits than its factorization.

248838380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77318 (or 77316 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 248838380 is about 15774.6118811209. The cubic root of 248838380 is about 628.9833101847.

The spelling of 248838380 in words is "two hundred forty-eight million, eight hundred thirty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 77279 154558 309116 386395 540953 772790 1081906 1545580 1777417 2163812 2704765 3554834 5409530 7109668 8887085 10819060 12441919 17774170 24883838 35548340 49767676 62209595 124419190 248838380