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272264993 = 711131012693
BaseRepresentation
bin10000001110100…
…110111100100001
3200222022111100122
4100032212330201
51024144434433
643003330025
76514133330
oct2016467441
9628274318
10272264993
1112a7607a0
1277220915
1344539a60
1428233d17
1518d81198
hex103a6f21

272264993 has 32 divisors (see below), whose sum is σ = 369315072. Its totient is φ = 193824000.

The previous prime is 272264987. The next prime is 272265067. The reversal of 272264993 is 399462272.

It is a cyclic number.

It is not a de Polignac number, because 272264993 - 210 = 272263969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (272264933) 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 31 ways as a sum of consecutive naturals, for example, 99755 + ... + 102447.

It is an arithmetic number, because the mean of its divisors is an integer number (11541096).

Almost surely, 2272264993 is an apocalyptic number.

It is an amenable number.

272264993 is a deficient number, since it is larger than the sum of its proper divisors (97050079).

272264993 is a wasteful number, since it uses less digits than its factorization.

272264993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825.

The product of its digits is 326592, while the sum is 44.

The square root of 272264993 is about 16500.4543270784. The cubic root of 272264993 is about 648.1327023669.

The spelling of 272264993 in words is "two hundred seventy-two million, two hundred sixty-four thousand, nine hundred ninety-three".

Divisors: 1 7 11 13 77 91 101 143 707 1001 1111 1313 2693 7777 9191 14443 18851 29623 35009 101101 207361 245063 271993 385099 1903951 2695693 2991923 3535909 20943461 24751363 38894999 272264993