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542192976 = 243213319343
BaseRepresentation
bin100000010100010…
…011010101010000
31101210020020221100
4200110103111100
52102300133401
6125445024400
716302364353
oct4024232520
91353206840
10542192976
11259065676
121316b5100
1388438b60
145201a29a
15328eeb86
hex20513550

542192976 has 120 divisors (see below), whose sum is σ = 1687003136. Its totient is φ = 161429760.

The previous prime is 542192957. The next prime is 542192993. The reversal of 542192976 is 679291245.

542192976 is a `hidden beast` number, since 542 + 19 + 2 + 97 + 6 = 666.

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, 53361 + ... + 62703.

Almost surely, 2542192976 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 542192976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843501568).

542192976 is an abundant number, since it is smaller than the sum of its proper divisors (1144810160).

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

542192976 is a wasteful number, since it uses less digits than its factorization.

542192976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9401 (or 9392 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 542192976 is about 23285.0375992825. The cubic root of 542192976 is about 815.4261391967.

The spelling of 542192976 in words is "five hundred forty-two million, one hundred ninety-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 744 806 936 1116 1209 1488 1612 1872 2232 2418 3224 3627 4464 4836 6448 7254 9343 9672 14508 18686 19344 28029 29016 37372 56058 58032 74744 84087 112116 121459 149488 168174 224232 242918 289633 336348 364377 448464 485836 579266 672696 728754 868899 971672 1093131 1158532 1345392 1457508 1737798 1943344 2186262 2317064 2606697 2915016 3475596 3765229 4372524 4634128 5213394 5830032 6951192 7530458 8745048 10426788 11295687 13902384 15060916 17490096 20853576 22591374 30121832 33887061 41707152 45182748 60243664 67774122 90365496 135548244 180730992 271096488 542192976