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248421400 = 23521242107
BaseRepresentation
bin11101100111010…
…01110000011000
3122022110010002121
432303221300120
51002043441100
640352311024
76104355433
oct1663516030
9568403077
10248421400
11118255747
126b242474
133c60c016
1424dc881a
1516c2151a
hexece9c18

248421400 has 24 divisors (see below), whose sum is σ = 577580220. Its totient is φ = 99368480.

The previous prime is 248421389. The next prime is 248421421. The reversal of 248421400 is 4124842.

248421400 is digitally balanced in base 2 and base 3, because in such bases 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 (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 620854 + ... + 621253.

Almost surely, 2248421400 is an apocalyptic number.

248421400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248421400 is an abundant number, since it is smaller than the sum of its proper divisors (329158820).

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

248421400 is a wasteful number, since it uses less digits than its factorization.

248421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242123 (or 1242114 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 248421400 is about 15761.3895326523. The cubic root of 248421400 is about 628.6317833624.

The spelling of 248421400 in words is "two hundred forty-eight million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1242107 2484214 4968428 6210535 9936856 12421070 24842140 31052675 49684280 62105350 124210700 248421400