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248137272 = 23323446351
BaseRepresentation
bin11101100101001…
…00011000111000
3122021220200100100
432302210120320
51002010343042
640342235400
76102063165
oct1662443070
9567820310
10248137272
11118081229
126b125b60
133c53c8b6
1424d5306c
1516bb724c
hexeca4638

248137272 has 24 divisors (see below), whose sum is σ = 672038640. Its totient is φ = 82712400.

The previous prime is 248137249. The next prime is 248137273. The reversal of 248137272 is 272731842.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248137273) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1723104 + ... + 1723247.

It is an arithmetic number, because the mean of its divisors is an integer number (28001610).

Almost surely, 2248137272 is an apocalyptic number.

It is an amenable number.

248137272 is an abundant number, since it is smaller than the sum of its proper divisors (423901368).

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

248137272 is a wasteful number, since it uses less digits than its factorization.

248137272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446363 (or 3446356 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 248137272 is about 15752.3735354390. The cubic root of 248137272 is about 628.3920294208.

The spelling of 248137272 in words is "two hundred forty-eight million, one hundred thirty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3446351 6892702 10339053 13785404 20678106 27570808 31017159 41356212 62034318 82712424 124068636 248137272