Search a number
-
+
542554524 = 223417137719
BaseRepresentation
bin100000010101101…
…011100110011100
31101210220121220000
4200111223212130
52102343221044
6125500454300
716305431421
oct4025534634
91353817800
10542554524
11259292276
1213184a390
13885345a5
14520b1d48
1532971d69
hex2056b99c

542554524 has 120 divisors (see below), whose sum is σ = 1514842560. Its totient is φ = 168735744.

The previous prime is 542554427. The next prime is 542554547. The reversal of 542554524 is 425455245.

542554524 is a `hidden beast` number, since 54 + 2 + 554 + 52 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 754237 + ... + 754955.

It is an arithmetic number, because the mean of its divisors is an integer number (12623688).

Almost surely, 2542554524 is an apocalyptic number.

542554524 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542554524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757421280).

542554524 is an abundant number, since it is smaller than the sum of its proper divisors (972288036).

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

542554524 is a wasteful number, since it uses less digits than its factorization.

542554524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 878 counting only the distinct ones).

The product of its digits is 160000, while the sum is 36.

The square root of 542554524 is about 23292.7998317077. The cubic root of 542554524 is about 815.6073478542.

The spelling of 542554524 in words is "five hundred forty-two million, five hundred fifty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 137 153 162 204 274 306 324 411 459 548 612 719 822 918 1233 1377 1438 1644 1836 2157 2329 2466 2754 2876 3699 4314 4658 4932 5508 6471 6987 7398 8628 9316 11097 12223 12942 13974 14796 19413 20961 22194 24446 25884 27948 36669 38826 41922 44388 48892 58239 62883 73338 77652 83844 98503 110007 116478 125766 146676 188649 197006 220014 232956 251532 295509 330021 377298 394012 440028 591018 660042 754596 886527 990063 1182036 1320084 1674551 1773054 1980126 2659581 3349102 3546108 3960252 5023653 5319162 6698204 7978743 10047306 10638324 15070959 15957486 20094612 30141918 31914972 45212877 60283836 90425754 135638631 180851508 271277262 542554524