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536354112 = 26372317351
BaseRepresentation
bin11111111110000…
…001110101000000
31101101020121112010
4133332001311000
52044301312422
6125115532520
716201635420
oct3776016500
91341217463
10536354112
11255837868
1212b75a140
13871732c8
145133a480
1532149b0c
hex1ff81d40

536354112 has 112 divisors (see below), whose sum is σ = 1692444672. Its totient is φ = 146572800.

The previous prime is 536354107. The next prime is 536354113. The reversal of 536354112 is 211453635.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 536354112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536354113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22237 + ... + 39587.

Almost surely, 2536354112 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 536354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846222336).

536354112 is an abundant number, since it is smaller than the sum of its proper divisors (1156090560).

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

536354112 is a wasteful number, since it uses less digits than its factorization.

536354112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17396 (or 17386 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 536354112 is about 23159.3201972769. The cubic root of 536354112 is about 812.4884666450.

The spelling of 536354112 in words is "five hundred thirty-six million, three hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 15456 17351 30912 34702 52053 69404 104106 121457 138808 208212 242914 277616 364371 399073 416424 485828 555232 728742 798146 832848 971656 1110464 1197219 1457484 1596292 1665696 1943312 2394438 2793511 2914968 3192584 3331392 3886624 4788876 5587022 5829936 6385168 7773248 8380533 9577752 11174044 11659872 12770336 16761066 19155504 22348088 23319744 25540672 33522132 38311008 44696176 67044264 76622016 89392352 134088528 178784704 268177056 536354112