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38614048 = 2511163673
BaseRepresentation
bin1001001101001…
…1010000100000
32200122210111221
42103103100200
534341122143
63455344424
7646133254
oct223232040
980583457
1038614048
111a884340
1210b22114
137ccca65
1451b2264
1535cb2ed
hex24d3420

38614048 has 48 divisors (see below), whose sum is σ = 83565216. Its totient is φ = 17418240.

The previous prime is 38614039. The next prime is 38614057. The reversal of 38614048 is 84041683.

It is an interprime number because it is at equal distance from previous prime (38614039) and next prime (38614057).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57040 + ... + 57712.

It is an arithmetic number, because the mean of its divisors is an integer number (1740942).

Almost surely, 238614048 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 38614048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41782608).

38614048 is an abundant number, since it is smaller than the sum of its proper divisors (44951168).

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

38614048 is a wasteful number, since it uses less digits than its factorization.

38614048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 38614048 is about 6214.0202767613. The cubic root of 38614048 is about 337.9987628773.

The spelling of 38614048 in words is "thirty-eight million, six hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 163 176 326 352 652 673 1304 1346 1793 2608 2692 3586 5216 5384 7172 7403 10768 14344 14806 21536 28688 29612 57376 59224 109699 118448 219398 236896 438796 877592 1206689 1755184 2413378 3510368 4826756 9653512 19307024 38614048