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9042257336 = 237272731729
BaseRepresentation
bin10000110101111010…
…11110010110111000
3212100011121021011212
420122331132112320
5122004304213321
64053130542252
7440034630200
oct103275362670
925304537155
109042257336
113920133852
121904297988
13b11457438
1461ac95400
1537dc7755b
hex21af5e5b8

9042257336 has 48 divisors (see below), whose sum is σ = 19750021200. Its totient is φ = 3869800704.

The previous prime is 9042257317. The next prime is 9042257369. The reversal of 9042257336 is 6337522409.

It is a junction number, because it is equal to n+sod(n) for n = 9042257293 and 9042257302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269120 + ... + 300848.

It is an arithmetic number, because the mean of its divisors is an integer number (411458775).

Almost surely, 29042257336 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 9042257336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9875010600).

9042257336 is an abundant number, since it is smaller than the sum of its proper divisors (10707763864).

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

9042257336 is a wasteful number, since it uses less digits than its factorization.

9042257336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32476 (or 32465 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 41.

The square root of 9042257336 is about 95090.7847059850. The cubic root of 9042257336 is about 2083.3342522933.

The spelling of 9042257336 in words is "nine billion, forty-two million, two hundred fifty-seven thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 727 1454 2908 5089 5816 10178 20356 31729 35623 40712 63458 71246 126916 142492 222103 253832 284984 444206 888412 1554721 1776824 3109442 6218884 12437768 23066983 46133966 92267932 161468881 184535864 322937762 645875524 1130282167 1291751048 2260564334 4521128668 9042257336