Search a number
-
+
38042896 = 2429163503
BaseRepresentation
bin1001000100011…
…1110100010000
32122120210001011
42101013310100
534214333041
63435220304
7641234143
oct221076420
978523034
1038042896
111a524211
12108a7694
137b5cab8
1450a405a
153516e81
hex2447d10

38042896 has 40 divisors (see below), whose sum is σ = 76870080. Its totient is φ = 18216576.

The previous prime is 38042891. The next prime is 38042909. The reversal of 38042896 is 69824083.

It is not an unprimeable number, because it can be changed into a prime (38042891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75381 + ... + 75883.

It is an arithmetic number, because the mean of its divisors is an integer number (1921752).

Almost surely, 238042896 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 38042896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38435040).

38042896 is an abundant number, since it is smaller than the sum of its proper divisors (38827184).

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

38042896 is a wasteful number, since it uses less digits than its factorization.

38042896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 38042896 is about 6167.8923466611. The cubic root of 38042896 is about 336.3239977550.

The spelling of 38042896 in words is "thirty-eight million, forty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 58 116 163 232 326 464 503 652 1006 1304 2012 2608 4024 4727 8048 9454 14587 18908 29174 37816 58348 75632 81989 116696 163978 233392 327956 655912 1311824 2377681 4755362 9510724 19021448 38042896