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248903424 = 28327112361
BaseRepresentation
bin11101101010111…
…11011100000000
3122100100121022100
432311133130000
51002204402144
640410510400
76111433650
oct1665373400
9570317270
10248903424
11118554910
126b435400
133c74a543
14250b2360
1516cb9269
hexed5f700

248903424 has 432 divisors, whose sum is σ = 948939264. Its totient is φ = 60825600.

The previous prime is 248903419. The next prime is 248903449. The reversal of 248903424 is 424309842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4080354 + ... + 4080414.

Almost surely, 2248903424 is an apocalyptic number.

248903424 is a gapful number since it is divisible by the number (24) 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 248903424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474469632).

248903424 is an abundant number, since it is smaller than the sum of its proper divisors (700035840).

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

248903424 is a wasteful number, since it uses less digits than its factorization.

248903424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 248903424 is about 15776.6734136192. The cubic root of 248903424 is about 629.0381088407.

The spelling of 248903424 in words is "two hundred forty-eight million, nine hundred three thousand, four hundred twenty-four".