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272575002 = 23729317219
BaseRepresentation
bin10000001111110…
…010101000011010
3200222220020121110
4100033302220122
51024234400002
643014121150
76516564210
oct2017625032
9628806543
10272575002
1112a9526a7
12773501b6
1344617bab
14282b4cb0
1518de2e6c
hex103f2a1a

272575002 has 64 divisors (see below), whose sum is σ = 665395200. Its totient is φ = 72757440.

The previous prime is 272574997. The next prime is 272575013. The reversal of 272575002 is 200575272.

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 31 ways as a sum of consecutive naturals, for example, 34149 + ... + 41367.

It is an arithmetic number, because the mean of its divisors is an integer number (10396800).

Almost surely, 2272575002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272575002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332697600).

272575002 is an abundant number, since it is smaller than the sum of its proper divisors (392820198).

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

272575002 is a wasteful number, since it uses less digits than its factorization.

272575002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7291.

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 272575002 is about 16509.8456080001. The cubic root of 272575002 is about 648.3786034361.

The spelling of 272575002 in words is "two hundred seventy-two million, five hundred seventy-five thousand, two".

Divisors: 1 2 3 6 7 14 21 29 31 42 58 62 87 93 174 186 203 217 406 434 609 651 899 1218 1302 1798 2697 5394 6293 7219 12586 14438 18879 21657 37758 43314 50533 101066 151599 209351 223789 303198 418702 447578 628053 671367 1256106 1342734 1465457 1566523 2930914 3133046 4396371 4699569 6489881 8792742 9399138 12979762 19469643 38939286 45429167 90858334 136287501 272575002