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248124590 = 2573795801
BaseRepresentation
bin11101100101000…
…01010010101110
3122021220000221122
432302201102232
51002004441330
640342100542
76102011210
oct1662412256
9567800848
10248124590
1111807274a
126b11a752
133c536bac
1424d4c5b0
1516bb35e5
hexeca14ae

248124590 has 32 divisors (see below), whose sum is σ = 524228544. Its totient is φ = 82771200.

The previous prime is 248124563. The next prime is 248124601. The reversal of 248124590 is 95421842.

248124590 is digitally balanced in base 2, because in such base 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 (35).

It is a self number, because there is not a number n which added to its sum of digits gives 248124590.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45311 + ... + 50490.

It is an arithmetic number, because the mean of its divisors is an integer number (16382142).

Almost surely, 2248124590 is an apocalyptic number.

248124590 is an abundant number, since it is smaller than the sum of its proper divisors (276103954).

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

248124590 is a wasteful number, since it uses less digits than its factorization.

248124590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95852.

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 248124590 is about 15751.9709877844. The cubic root of 248124590 is about 628.3813237827.

The spelling of 248124590 in words is "two hundred forty-eight million, one hundred twenty-four thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 35 37 70 74 185 259 370 518 1295 2590 95801 191602 479005 670607 958010 1341214 3353035 3544637 6706070 7089274 17723185 24812459 35446370 49624918 124062295 248124590