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432520242 = 237116789157
BaseRepresentation
bin11001110001111…
…011110000110010
31010010212022020020
4121301323300302
51341211121432
6110530224310
713501234650
oct3161736062
91103768206
10432520242
11202167950
12100a25096
136b7b974b
144162bdd0
1527e8922c
hex19c7bc32

432520242 has 128 divisors (see below), whose sum is σ = 1113937920. Its totient is φ = 108725760.

The previous prime is 432520223. The next prime is 432520261. The reversal of 432520242 is 242025234.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (432520223) and next prime (432520261).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2754828 + ... + 2754984.

It is an arithmetic number, because the mean of its divisors is an integer number (8702640).

Almost surely, 2432520242 is an apocalyptic number.

432520242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 432520242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556968960).

432520242 is an abundant number, since it is smaller than the sum of its proper divisors (681417678).

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

432520242 is a wasteful number, since it uses less digits than its factorization.

432520242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336.

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 432520242 is about 20797.1210026773. The cubic root of 432520242 is about 756.2559636895.

Adding to 432520242 its reverse (242025234), we get a palindrome (674545476).

The spelling of 432520242 in words is "four hundred thirty-two million, five hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 67 77 89 134 154 157 178 201 231 267 314 402 462 469 471 534 623 737 938 942 979 1099 1246 1407 1474 1727 1869 1958 2198 2211 2814 2937 3297 3454 3738 4422 5159 5181 5874 5963 6594 6853 10318 10362 10519 11926 12089 13706 13973 15477 17889 20559 21038 24178 27946 30954 31557 35778 36267 41118 41741 41919 63114 65593 72534 73633 83482 83838 97811 115709 125223 131186 147266 153703 195622 196779 220899 231418 250446 293433 307406 347127 393558 441798 459151 461109 586866 694254 809963 918302 922218 936191 1075921 1377453 1619926 1872382 2151842 2429889 2754906 2808573 3227763 4859778 5617146 6455526 6553337 10298101 13106674 19660011 20596202 30894303 39320022 61788606 72086707 144173414 216260121 432520242