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272869842 = 23741211751
BaseRepresentation
bin10000010000111…
…010100111010010
3201000110020001110
4100100322213102
51024323313332
643024314150
76522232620
oct2020724722
9630406043
10272869842
11130034173
1277472956
13446bc15b
1428350510
1518e504cc
hex1043a9d2

272869842 has 64 divisors (see below), whose sum is σ = 642797568. Its totient is φ = 75600000.

The previous prime is 272869841. The next prime is 272869853. The reversal of 272869842 is 248968272.

It is a junction number, because it is equal to n+sod(n) for n = 272869791 and 272869800.

It is not an unprimeable number, because it can be changed into a prime (272869841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362967 + ... + 363717.

It is an arithmetic number, because the mean of its divisors is an integer number (10043712).

Almost surely, 2272869842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272869842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321398784).

272869842 is an abundant number, since it is smaller than the sum of its proper divisors (369927726).

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

272869842 is a wasteful number, since it uses less digits than its factorization.

272869842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015.

The product of its digits is 774144, while the sum is 48.

The square root of 272869842 is about 16518.7724120166. The cubic root of 272869842 is about 648.6122994337.

It can be divided in two parts, 27286 and 9842, that added together give a triangular number (37128 = T272).

The spelling of 272869842 in words is "two hundred seventy-two million, eight hundred sixty-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 211 246 287 422 574 633 751 861 1266 1477 1502 1722 2253 2954 4431 4506 5257 8651 8862 10514 15771 17302 25953 30791 31542 51906 60557 61582 92373 121114 158461 181671 184746 215537 316922 363342 431074 475383 646611 950766 1109227 1293222 2218454 3327681 6496901 6655362 12993802 19490703 38981406 45478307 90956614 136434921 272869842