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423242688 = 26311238713
BaseRepresentation
bin11001001110100…
…010101111000000
31002111101221211010
4121032202233000
51331322231223
6105555320520
713326334461
oct3116425700
91074357733
10423242688
111a7a00550
12b98b0140
13698bb97b
14402d4d68
1527255393
hex193a2bc0

423242688 has 112 divisors (see below), whose sum is σ = 1274893056. Its totient is φ = 122664960.

The previous prime is 423242671. The next prime is 423242707. The reversal of 423242688 is 886242324.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 44220 + ... + 52932.

Almost surely, 2423242688 is an apocalyptic number.

423242688 is a gapful number since it is divisible by the number (48) 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 423242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637446528).

423242688 is an abundant number, since it is smaller than the sum of its proper divisors (851650368).

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

423242688 is a wasteful number, since it uses less digits than its factorization.

423242688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8762 (or 8752 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 423242688 is about 20572.8629023770. The cubic root of 423242688 is about 750.8096075109.

The spelling of 423242688 in words is "four hundred twenty-three million, two hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 2024 2112 2208 3036 4048 4416 6072 8096 8713 12144 16192 17426 24288 26139 34852 48576 52278 69704 95843 104556 139408 191686 200399 209112 278816 287529 383372 400798 418224 557632 575058 601197 766744 801596 836448 1150116 1202394 1533488 1603192 1672896 2204389 2300232 2404788 3066976 3206384 4408778 4600464 4809576 6133952 6412768 6613167 8817556 9200928 9619152 12825536 13226334 17635112 18401856 19238304 26452668 35270224 38476608 52905336 70540448 105810672 141080896 211621344 423242688