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423385536 = 26371013119
BaseRepresentation
bin11001001111000…
…101100111000000
31002111200012202210
4121033011213000
51331341314121
6110002342120
713330501110
oct3117054700
91074605683
10423385536
111a7a98902
12b995a940
136993b9b2
1440331040
1527282876
hex193c59c0

423385536 has 112 divisors (see below), whose sum is σ = 1293327360. Its totient is φ = 119731200.

The previous prime is 423385499. The next prime is 423385537. The reversal of 423385536 is 635583324.

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

It is a junction number, because it is equal to n+sod(n) for n = 423385494 and 423385503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423385537) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 134185 + ... + 137303.

Almost surely, 2423385536 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 423385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646663680).

423385536 is an abundant number, since it is smaller than the sum of its proper divisors (869941824).

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

423385536 is a wasteful number, since it uses less digits than its factorization.

423385536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3232 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 423385536 is about 20576.3343674232. The cubic root of 423385536 is about 750.8940662151.

It can be divided in two parts, 42338 and 5536, that added together give a palindrome (47874).

The spelling of 423385536 in words is "four hundred twenty-three million, three hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 168 192 202 224 303 336 404 448 606 672 707 808 1212 1344 1414 1616 2121 2424 2828 3119 3232 4242 4848 5656 6238 6464 8484 9357 9696 11312 12476 16968 18714 19392 21833 22624 24952 33936 37428 43666 45248 49904 65499 67872 74856 87332 99808 130998 135744 149712 174664 199616 261996 299424 315019 349328 523992 598848 630038 698656 945057 1047984 1260076 1397312 1890114 2095968 2205133 2520152 3780228 4191936 4410266 5040304 6615399 7560456 8820532 10080608 13230798 15120912 17641064 20161216 26461596 30241824 35282128 52923192 60483648 70564256 105846384 141128512 211692768 423385536