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542262448 = 247131312843
BaseRepresentation
bin100000010100100…
…100010010110000
31101210100210020101
4200110210102300
52102304344243
6125450322144
716303104040
oct4024442260
91353323211
10542262448
11259102892
12131729354
1388461670
1452037720
153291554d
hex205244b0

542262448 has 80 divisors (see below), whose sum is σ = 1303416576. Its totient is φ = 212808960.

The previous prime is 542262437. The next prime is 542262449. The reversal of 542262448 is 844262245.

It is not an unprimeable number, because it can be changed into a prime (542262449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189315 + ... + 192157.

Almost surely, 2542262448 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 542262448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651708288).

542262448 is an abundant number, since it is smaller than the sum of its proper divisors (761154128).

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

542262448 is a wasteful number, since it uses less digits than its factorization.

542262448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2996 counting only the distinct ones).

The product of its digits is 122880, while the sum is 37.

The square root of 542262448 is about 23286.5293249123. The cubic root of 542262448 is about 815.4609649678.

The spelling of 542262448 in words is "five hundred forty-two million, two hundred sixty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 131 182 208 262 364 524 728 917 1048 1456 1703 1834 2096 2843 3406 3668 5686 6812 7336 11372 11921 13624 14672 19901 22744 23842 27248 36959 39802 45488 47684 73918 79604 95368 147836 159208 190736 258713 295672 318416 372433 517426 591344 744866 1034852 1489732 2069704 2607031 2979464 4139408 4841629 5214062 5958928 9683258 10428124 19366516 20856248 33891403 38733032 41712496 67782806 77466064 135565612 271131224 542262448