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423037888 = 26713193823
BaseRepresentation
bin11001001101110…
…000101111000000
31002111000112212221
4121031300233000
51331244203023
6105551100424
713324522420
oct3115605700
91074015787
10423037888
111a7880699
12b9811714
13698496a0
1440280480
152721485d
hex19370bc0

423037888 has 112 divisors (see below), whose sum is σ = 1087851520. Its totient is φ = 158505984.

The previous prime is 423037861. The next prime is 423037931. The reversal of 423037888 is 888730324.

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

It is a super-2 number, since 2×4230378882 = 357922109367001088, which contains 22 as substring.

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, 108745 + ... + 112567.

It is an arithmetic number, because the mean of its divisors is an integer number (9712960).

Almost surely, 2423037888 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 423037888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543925760).

423037888 is an abundant number, since it is smaller than the sum of its proper divisors (664813632).

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

423037888 is a wasteful number, since it uses less digits than its factorization.

423037888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 423037888 is about 20567.8848693783. The cubic root of 423037888 is about 750.6884866030.

The spelling of 423037888 in words is "four hundred twenty-three million, thirty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 133 152 182 208 224 247 266 304 364 416 448 494 532 608 728 832 988 1064 1216 1456 1729 1976 2128 2912 3458 3823 3952 4256 5824 6916 7646 7904 8512 13832 15292 15808 26761 27664 30584 49699 53522 55328 61168 72637 99398 107044 110656 122336 145274 198796 214088 244672 290548 347893 397592 428176 508459 581096 695786 795184 856352 944281 1016918 1162192 1391572 1590368 1712704 1888562 2033836 2324384 2783144 3180736 3777124 4067672 4648768 5566288 6609967 7554248 8135344 11132576 13219934 15108496 16270688 22265152 26439868 30216992 32541376 52879736 60433984 105759472 211518944 423037888