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423526968 = 233423157181
BaseRepresentation
bin11001001111101…
…000001000111000
31002111221101210000
4121033220020320
51331410330333
6110005353000
713331630334
oct3117501070
91074841700
10423526968
111a8085097
12b9a08760
136998b197
144036a7c4
15272ae713
hex193e8238

423526968 has 160 divisors (see below), whose sum is σ = 1252611360. Its totient is φ = 133436160.

The previous prime is 423526963. The next prime is 423526997. The reversal of 423526968 is 869625324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423526963) 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 39 ways as a sum of consecutive naturals, for example, 2339838 + ... + 2340018.

It is an arithmetic number, because the mean of its divisors is an integer number (7828821).

Almost surely, 2423526968 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 423526968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626305680).

423526968 is an abundant number, since it is smaller than the sum of its proper divisors (829084392).

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

423526968 is a wasteful number, since it uses less digits than its factorization.

423526968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 366 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 423526968 is about 20579.7708442052. The cubic root of 423526968 is about 750.9776689973.

The spelling of 423526968 in words is "four hundred twenty-three million, five hundred twenty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 157 162 181 184 207 216 276 314 324 362 414 471 543 552 621 628 648 724 828 942 1086 1242 1256 1413 1448 1629 1656 1863 1884 2172 2484 2826 3258 3611 3726 3768 4163 4239 4344 4887 4968 5652 6516 7222 7452 8326 8478 9774 10833 11304 12489 12717 13032 14444 14661 14904 16652 16956 19548 21666 24978 25434 28417 28888 29322 32499 33304 33912 37467 39096 43332 49956 50868 56834 58644 64998 74934 85251 86664 97497 99912 101736 112401 113668 117288 129996 149868 170502 194994 224802 227336 255753 259992 292491 299736 337203 341004 389988 449604 511506 584982 653591 674406 682008 767259 779976 899208 1023012 1169964 1307182 1348812 1534518 1960773 2046024 2301777 2339928 2614364 2697624 3069036 3921546 4603554 5228728 5882319 6138072 7843092 9207108 11764638 15686184 17646957 18414216 23529276 35293914 47058552 52940871 70587828 105881742 141175656 211763484 423526968