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542363136 = 293773691
BaseRepresentation
bin100000010100111…
…100111000000000
31101210112220100120
4200110330320000
52102321110021
6125452420240
716304003430
oct4024747000
91353486316
10542363136
112591714a7
12131777680
1388498443
14520622c0
15329352c6
hex2053ce00

542363136 has 160 divisors (see below), whose sum is σ = 1676345088. Its totient is φ = 152616960.

The previous prime is 542363123. The next prime is 542363141. The reversal of 542363136 is 631363245.

It is a junction number, because it is equal to n+sod(n) for n = 542363097 and 542363106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784551 + ... + 785241.

Almost surely, 2542363136 is an apocalyptic number.

542363136 is a gapful number since it is divisible by the number (56) 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 542363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838172544).

542363136 is an abundant number, since it is smaller than the sum of its proper divisors (1133981952).

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

542363136 is an equidigital number, since it uses as much as digits as its factorization.

542363136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 776 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 542363136 is about 23288.6911611623. The cubic root of 542363136 is about 815.5114337968.

The spelling of 542363136 in words is "five hundred forty-two million, three hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 128 146 168 192 219 224 256 292 336 384 438 448 511 512 584 672 691 768 876 896 1022 1168 1344 1382 1533 1536 1752 1792 2044 2073 2336 2688 2764 3066 3504 3584 4088 4146 4672 4837 5376 5528 6132 7008 8176 8292 9344 9674 10752 11056 12264 14016 14511 16352 16584 18688 19348 22112 24528 28032 29022 32704 33168 37376 38696 44224 49056 50443 56064 58044 65408 66336 77392 88448 98112 100886 112128 116088 130816 132672 151329 154784 176896 196224 201772 232176 261632 265344 302658 309568 353101 353792 392448 403544 464352 530688 605316 619136 706202 784896 807088 928704 1059303 1061376 1210632 1238272 1412404 1614176 1857408 2118606 2421264 2476544 2824808 3228352 3714816 4237212 4842528 5649616 6456704 7429632 8474424 9685056 11299232 12913408 16948848 19370112 22598464 25826816 33897696 38740224 45196928 67795392 77480448 90393856 135590784 180787712 271181568 542363136