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542667450 = 235213221407
BaseRepresentation
bin100000010110000…
…111001010111010
31101211010100210110
4200112013022322
52102410324300
6125503125150
716306411563
oct4026071272
91354110713
10542667450
1125935a0a6
121318a37b6
1388573b00
145210116a
1532995550
hex205872ba

542667450 has 72 divisors (see below), whose sum is σ = 1457371008. Its totient is φ = 133573440.

The previous prime is 542667409. The next prime is 542667467. The reversal of 542667450 is 54766245.

It is a super-2 number, since 2×5426674502 = 588975922579005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 542667399 and 542667408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14647 + ... + 36053.

It is an arithmetic number, because the mean of its divisors is an integer number (20241264).

Almost surely, 2542667450 is an apocalyptic number.

542667450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 542667450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728685504).

542667450 is an abundant number, since it is smaller than the sum of its proper divisors (914703558).

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

542667450 is a wasteful number, since it uses less digits than its factorization.

542667450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21448 (or 21430 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 542667450 is about 23295.2237593890. The cubic root of 542667450 is about 815.6639301158.

It can be divided in two parts, 54266 and 7450, that added together give a palindrome (61716).

The spelling of 542667450 in words is "five hundred forty-two million, six hundred sixty-seven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 169 195 325 338 390 507 650 845 975 1014 1690 1950 2535 4225 5070 8450 12675 21407 25350 42814 64221 107035 128442 214070 278291 321105 535175 556582 642210 834873 1070350 1391455 1605525 1669746 2782910 3211050 3617783 4174365 6957275 7235566 8348730 10853349 13914550 18088915 20871825 21706698 36177830 41743650 54266745 90444575 108533490 180889150 271333725 542667450