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271144048 = 24723171091
BaseRepresentation
bin10000001010010…
…101010001110000
3200220012112201011
4100022111101300
51023403102143
642523320304
76501454300
oct2012252160
9626175634
10271144048
1112a06559a
1276980094
1344236786
1428021600
1518c0de9d
hex10295470

271144048 has 60 divisors (see below), whose sum is σ = 613601352. Its totient is φ = 115731840.

The previous prime is 271144043. The next prime is 271144057. The reversal of 271144048 is 840441172.

It is a happy number.

271144048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271144043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247983 + ... + 249073.

Almost surely, 2271144048 is an apocalyptic number.

271144048 is a gapful number since it is divisible by the number (28) 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 271144048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306800676).

271144048 is an abundant number, since it is smaller than the sum of its proper divisors (342457304).

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

271144048 is a wasteful number, since it uses less digits than its factorization.

271144048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 271144048 is about 16466.4521983334. The cubic root of 271144048 is about 647.2420009382.

The spelling of 271144048 in words is "two hundred seventy-one million, one hundred forty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 317 392 634 784 1091 1268 2182 2219 2536 4364 4438 5072 7637 8728 8876 15274 15533 17456 17752 30548 31066 35504 53459 61096 62132 106918 122192 124264 213836 248528 345847 427672 691694 855344 1383388 2420929 2766776 4841858 5533552 9683716 16946503 19367432 33893006 38734864 67786012 135572024 271144048