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248470980 = 2235171912821
BaseRepresentation
bin11101100111101…
…01110111000100
3122022112122002220
432303311313010
51002102032410
640353332340
76104653122
oct1663656704
9568478086
10248470980
11118289a1a
126b2670b0
133c628764
1424ddc912
1516c31070
hexecf5dc4

248470980 has 96 divisors (see below), whose sum is σ = 775474560. Its totient is φ = 59074560.

The previous prime is 248470973. The next prime is 248470991. The reversal of 248470980 is 89074842.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 12970 + ... + 25790.

It is an arithmetic number, because the mean of its divisors is an integer number (8077860).

Almost surely, 2248470980 is an apocalyptic number.

248470980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248470980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387737280).

248470980 is an abundant number, since it is smaller than the sum of its proper divisors (527003580).

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

248470980 is a wasteful number, since it uses less digits than its factorization.

248470980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12869 (or 12867 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 248470980 is about 15762.9622850529. The cubic root of 248470980 is about 628.6736014057.

The spelling of 248470980 in words is "two hundred forty-eight million, four hundred seventy thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1292 1615 1938 3230 3876 4845 6460 9690 12821 19380 25642 38463 51284 64105 76926 128210 153852 192315 217957 243599 256420 384630 435914 487198 653871 730797 769260 871828 974396 1089785 1217995 1307742 1461594 2179570 2435990 2615484 2923188 3269355 3653985 4141183 4359140 4871980 6538710 7307970 8282366 12423549 13077420 14615940 16564732 20705915 24847098 41411830 49694196 62117745 82823660 124235490 248470980