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272128948 = 227213106801
BaseRepresentation
bin10000001110000…
…101101110110100
3200222001120201221
4100032011232310
51024131111243
643000400124
76513025600
oct2016055664
9628046657
10272128948
1112a678563
1277176044
13444bcb60
14281da500
1518d55bed
hex10385bb4

272128948 has 36 divisors (see below), whose sum is σ = 596595972. Its totient is φ = 107654400.

The previous prime is 272128933. The next prime is 272128949. The reversal of 272128948 is 849821272.

It can be written as a sum of positive squares in 2 ways, for example, as 44782864 + 227346084 = 6692^2 + 15078^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272128949) 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 11 ways as a sum of consecutive naturals, for example, 50853 + ... + 55948.

Almost surely, 2272128948 is an apocalyptic number.

272128948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

272128948 is an abundant number, since it is smaller than the sum of its proper divisors (324467024).

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

272128948 is a wasteful number, since it uses less digits than its factorization.

272128948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106832 (or 106823 counting only the distinct ones).

The product of its digits is 129024, while the sum is 43.

The square root of 272128948 is about 16496.3313497274. The cubic root of 272128948 is about 648.0247316934.

The spelling of 272128948 in words is "two hundred seventy-two million, one hundred twenty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 106801 213602 427204 747607 1388413 1495214 2776826 2990428 5233249 5553652 9718891 10466498 19437782 20932996 38875564 68032237 136064474 272128948