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542257548 = 223761971091
BaseRepresentation
bin100000010100100…
…011000110001100
31101210100112111220
4200110203012030
52102304220143
6125450243340
716303053540
oct4024430614
91353315456
10542257548
112590aa138
12131726550
138845c371
1452035a20
1532913d83
hex2052318c

542257548 has 96 divisors (see below), whose sum is σ = 1486238208. Its totient is φ = 150681600.

The previous prime is 542257537. The next prime is 542257579. The reversal of 542257548 is 845752245.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496483 + ... + 497573.

It is an arithmetic number, because the mean of its divisors is an integer number (15481648).

Almost surely, 2542257548 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 542257548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743119104).

542257548 is an abundant number, since it is smaller than the sum of its proper divisors (943980660).

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

542257548 is a wasteful number, since it uses less digits than its factorization.

542257548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1261 counting only the distinct ones).

The product of its digits is 448000, while the sum is 42.

The square root of 542257548 is about 23286.4241136332. The cubic root of 542257548 is about 815.4585087335.

The spelling of 542257548 in words is "five hundred forty-two million, two hundred fifty-seven thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 97 122 183 194 244 291 366 388 427 582 679 732 854 1091 1164 1281 1358 1708 2037 2182 2562 2716 3273 4074 4364 5124 5917 6546 7637 8148 11834 13092 15274 17751 22911 23668 30548 35502 41419 45822 66551 71004 82838 91644 105827 124257 133102 165676 199653 211654 248514 266204 317481 399306 423308 465857 497028 634962 740789 798612 931714 1269924 1397571 1481578 1863428 2222367 2795142 2963156 4444734 5590284 6455447 8889468 12910894 19366341 25821788 38732682 45188129 77465364 90376258 135564387 180752516 271128774 542257548