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272824048 = 2472435929
BaseRepresentation
bin10000010000101…
…111011011110000
3201000100220020101
4100100233123300
51024320332143
643023322144
76521652250
oct2020573360
9630326211
10272824048
11130002822
1277450354
13446a4363
142833b960
1518e41b4d
hex1042f6f0

272824048 has 20 divisors (see below), whose sum is σ = 604110640. Its totient is φ = 116924544.

The previous prime is 272824039. The next prime is 272824063. The reversal of 272824048 is 840428272.

It is a super-2 number, since 2×2728240482 = 148865922334212608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 272823998 and 272824016.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1217853 + ... + 1218076.

It is an arithmetic number, because the mean of its divisors is an integer number (30205532).

Almost surely, 2272824048 is an apocalyptic number.

272824048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

272824048 is an abundant number, since it is smaller than the sum of its proper divisors (331286592).

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

272824048 is a wasteful number, since it uses less digits than its factorization.

272824048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435944 (or 2435938 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 272824048 is about 16517.3862339052. The cubic root of 272824048 is about 648.5760132528.

The spelling of 272824048 in words is "two hundred seventy-two million, eight hundred twenty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 2435929 4871858 9743716 17051503 19487432 34103006 38974864 68206012 136412024 272824048