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17042272 = 251371577
BaseRepresentation
bin100000100000…
…0101101100000
31012001211121021
41001000231200
513330323042
61405135224
7264566632
oct101005540
935054537
1017042272
119690125
12585a514
1336b90b0
142398a52
151769867
hex1040b60

17042272 has 48 divisors (see below), whose sum is σ = 36705312. Its totient is φ = 7741440.

The previous prime is 17042261. The next prime is 17042293. The reversal of 17042272 is 27224071.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29248 + ... + 29824.

It is an arithmetic number, because the mean of its divisors is an integer number (764694).

Almost surely, 217042272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17042272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352656).

17042272 is an abundant number, since it is smaller than the sum of its proper divisors (19663040).

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

17042272 is a wasteful number, since it uses less digits than its factorization.

17042272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 17042272 is about 4128.2286758366. The cubic root of 17042272 is about 257.3411066107.

The spelling of 17042272 in words is "seventeen million, forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 71 104 142 208 284 416 568 577 923 1136 1154 1846 2272 2308 3692 4616 7384 7501 9232 14768 15002 18464 29536 30004 40967 60008 81934 120016 163868 240032 327736 532571 655472 1065142 1310944 2130284 4260568 8521136 17042272