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9938368 = 261119743
BaseRepresentation
bin100101111010…
…010111000000
3200200220212201
4211322113000
510021011433
6553002544
7150321556
oct45722700
920626781
109938368
115678930
1233b3454
13209c7bb
141469bd6
15d14a7d
hex97a5c0

9938368 has 56 divisors (see below), whose sum is σ = 22677120. Its totient is φ = 4273920.

The previous prime is 9938347. The next prime is 9938377. The reversal of 9938368 is 8638399.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13005 + ... + 13747.

Almost surely, 29938368 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 9938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338560).

9938368 is an abundant number, since it is smaller than the sum of its proper divisors (12738752).

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

9938368 is a wasteful number, since it uses less digits than its factorization.

9938368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 775 counting only the distinct ones).

The product of its digits is 279936, while the sum is 46.

The square root of 9938368 is about 3152.5177239787. The cubic root of 9938368 is about 214.9999495223. Note that the first 4 decimals are identical.

The spelling of 9938368 in words is "nine million, nine hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 743 836 1216 1486 1672 2972 3344 5944 6688 8173 11888 13376 14117 16346 23776 28234 32692 47552 56468 65384 112936 130768 155287 225872 261536 310574 451744 523072 621148 903488 1242296 2484592 4969184 9938368