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38934048 = 253478629
BaseRepresentation
bin1001010010000…
…1011000100000
32201021001110210
42110201120200
534431342143
63510254120
7651635226
oct224413040
981231423
1038934048
111aa827aa
1211057340
1380b25ca
145256b16
153641033
hex2521620

38934048 has 48 divisors (see below), whose sum is σ = 104388480. Its totient is φ = 12700416.

The previous prime is 38934023. The next prime is 38934053. The reversal of 38934048 is 84043983.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 38933997 and 38934015.

It is a congruent number.

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, 198 + ... + 8826.

It is an arithmetic number, because the mean of its divisors is an integer number (2174760).

Almost surely, 238934048 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 38934048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52194240).

38934048 is an abundant number, since it is smaller than the sum of its proper divisors (65454432).

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

38934048 is a wasteful number, since it uses less digits than its factorization.

38934048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8689 (or 8681 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 38934048 is about 6239.7153781242. The cubic root of 38934048 is about 338.9298764642.

The spelling of 38934048 in words is "thirty-eight million, nine hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 8629 17258 25887 34516 51774 69032 103548 138064 207096 276128 405563 414192 811126 828384 1216689 1622252 2433378 3244504 4866756 6489008 9733512 12978016 19467024 38934048