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248955080 = 23511251437
BaseRepresentation
bin11101101011011…
…00000011001000
3122100110020011112
432311230003020
51002213030310
640411545452
76112040363
oct1665540310
9570406145
10248955080
1111858a700
126b45b288
133c767bca
14250c70da
1516cc9705
hexed6c0c8

248955080 has 48 divisors (see below), whose sum is σ = 615712860. Its totient is φ = 90527360.

The previous prime is 248955073. The next prime is 248955101. The reversal of 248955080 is 80559842.

It can be written as a sum of positive squares in 2 ways, for example, as 235131556 + 13823524 = 15334^2 + 3718^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20879 + ... + 30558.

Almost surely, 2248955080 is an apocalyptic number.

248955080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248955080 is an abundant number, since it is smaller than the sum of its proper divisors (366757780).

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

248955080 is a wasteful number, since it uses less digits than its factorization.

248955080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51470 (or 51455 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 248955080 is about 15778.3104291936. The cubic root of 248955080 is about 629.0816214937.

The spelling of 248955080 in words is "two hundred forty-eight million, nine hundred fifty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 51437 102874 205748 257185 411496 514370 565807 1028740 1131614 2057480 2263228 2829035 4526456 5658070 6223877 11316140 12447754 22632280 24895508 31119385 49791016 62238770 124477540 248955080