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542545432 = 23111321912
BaseRepresentation
bin100000010101101…
…001011000011000
31101210220011102021
4200111221120120
52102342423212
6125500344224
716305363052
oct4025513030
91353804367
10542545432
11259286460
12131845074
1388530400
14520ac8d2
153296e307
hex20569618

542545432 has 72 divisors (see below), whose sum is σ = 1208008620. Its totient is φ = 226449600.

The previous prime is 542545403. The next prime is 542545447. The reversal of 542545432 is 234545245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2840457 + ... + 2840647.

Almost surely, 2542545432 is an apocalyptic number.

542545432 is a gapful number since it is divisible by the number (52) 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 542545432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604004310).

542545432 is an abundant number, since it is smaller than the sum of its proper divisors (665463188).

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

542545432 is a wasteful number, since it uses less digits than its factorization.

542545432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 217 counting only the distinct ones).

The product of its digits is 96000, while the sum is 34.

The square root of 542545432 is about 23292.6046632832. The cubic root of 542545432 is about 815.6027919106.

The spelling of 542545432 in words is "five hundred forty-two million, five hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 169 191 286 338 382 572 676 764 1144 1352 1528 1859 2101 2483 3718 4202 4966 7436 8404 9932 14872 16808 19864 27313 32279 36481 54626 64558 72962 109252 129116 145924 218504 258232 291848 355069 401291 474253 710138 802582 948506 1420276 1605164 1897012 2840552 3210328 3794024 5216783 6165289 10433566 12330578 20867132 24661156 41734264 49322312 67818179 135636358 271272716 542545432