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248490200 = 23527177493
BaseRepresentation
bin11101100111110…
…10100011011000
3122022120121110202
432303322203120
51002103141300
640354001332
76105063140
oct1663724330
9568517422
10248490200
111182a2402
126b276248
133c63442a
1425005920
1516c36ad5
hexecfa8d8

248490200 has 48 divisors (see below), whose sum is σ = 660277680. Its totient is φ = 85196160.

The previous prime is 248490197. The next prime is 248490223. The reversal of 248490200 is 2094842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87347 + ... + 90146.

It is an arithmetic number, because the mean of its divisors is an integer number (13755785).

Almost surely, 2248490200 is an apocalyptic number.

248490200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248490200 is an abundant number, since it is smaller than the sum of its proper divisors (411787480).

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

248490200 is a wasteful number, since it uses less digits than its factorization.

248490200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177516 (or 177507 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 248490200 is about 15763.5719302447. The cubic root of 248490200 is about 628.6898109379.

The spelling of 248490200 in words is "two hundred forty-eight million, four hundred ninety thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 177493 354986 709972 887465 1242451 1419944 1774930 2484902 3549860 4437325 4969804 6212255 7099720 8874650 9939608 12424510 17749300 24849020 31061275 35498600 49698040 62122550 124245100 248490200