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248271144 = 23311940421
BaseRepresentation
bin11101100110001…
…01000100101000
3122022011110222120
432303011010220
51002024134034
640345151240
76103161402
oct1663050450
9568143876
10248271144
11118162870
126b18b520
133c588804
1424d89b72
1516be1c49
hexecc5128

248271144 has 32 divisors (see below), whose sum is σ = 677103840. Its totient is φ = 75233600.

The previous prime is 248271143. The next prime is 248271169. The reversal of 248271144 is 441172842.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (248271143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469947 + ... + 470474.

It is an arithmetic number, because the mean of its divisors is an integer number (21159495).

Almost surely, 2248271144 is an apocalyptic number.

248271144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248271144 is an abundant number, since it is smaller than the sum of its proper divisors (428832696).

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

248271144 is a wasteful number, since it uses less digits than its factorization.

248271144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940441 (or 940437 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 248271144 is about 15756.6222268607. The cubic root of 248271144 is about 628.5050165765.

The spelling of 248271144 in words is "two hundred forty-eight million, two hundred seventy-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 940421 1880842 2821263 3761684 5642526 7523368 10344631 11285052 20689262 22570104 31033893 41378524 62067786 82757048 124135572 248271144