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542896848 = 243213793671
BaseRepresentation
bin100000010110111…
…111001011010000
31101211120000110200
4200112333023100
52102440144343
6125512055200
716311355434
oct4026771320
91354500420
10542896848
112594a648a
12131994500
1388624350
14521609c4
15329dd4d3
hex205bf2d0

542896848 has 120 divisors (see below), whose sum is σ = 1657393920. Its totient is φ = 164885760.

The previous prime is 542896817. The next prime is 542896877. The reversal of 542896848 is 848698245.

542896848 is a `hidden beast` number, since 542 + 8 + 96 + 8 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 542896794 and 542896803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146053 + ... + 149723.

It is an arithmetic number, because the mean of its divisors is an integer number (13811616).

Almost surely, 2542896848 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 542896848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828696960).

542896848 is an abundant number, since it is smaller than the sum of its proper divisors (1114497072).

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

542896848 is a wasteful number, since it uses less digits than its factorization.

542896848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777 (or 3768 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 542896848 is about 23300.1469523263. The cubic root of 542896848 is about 815.7788472196.

The spelling of 542896848 in words is "five hundred forty-two million, eight hundred ninety-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 79 104 117 144 156 158 208 234 237 312 316 468 474 624 632 711 936 948 1027 1264 1422 1872 1896 2054 2844 3081 3671 3792 4108 5688 6162 7342 8216 9243 11013 11376 12324 14684 16432 18486 22026 24648 29368 33039 36972 44052 47723 49296 58736 66078 73944 88104 95446 132156 143169 147888 176208 190892 264312 286338 290009 381784 429507 528624 572676 580018 763568 859014 870027 1145352 1160036 1718028 1740054 2290704 2320072 2610081 3436056 3480108 3770117 4640144 5220162 6872112 6960216 7540234 10440324 11310351 13920432 15080468 20880648 22620702 30160936 33931053 41761296 45241404 60321872 67862106 90482808 135724212 180965616 271448424 542896848