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38256048 = 24321491783
BaseRepresentation
bin1001000111101…
…1110110110000
32122222121102200
42101323312300
534243143143
63443543200
7643112445
oct221736660
978877380
1038256048
111a65a376
121098ab00
137c05b1c
14511b9cc
15355a1d3
hex247bdb0

38256048 has 60 divisors (see below), whose sum is σ = 107842800. Its totient is φ = 12659328.

The previous prime is 38256047. The next prime is 38256067. The reversal of 38256048 is 84065283.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38256041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20565 + ... + 22347.

It is an arithmetic number, because the mean of its divisors is an integer number (1797380).

Almost surely, 238256048 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 38256048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53921400).

38256048 is an abundant number, since it is smaller than the sum of its proper divisors (69586752).

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

38256048 is a wasteful number, since it uses less digits than its factorization.

38256048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38256048 is about 6185.1473709201. The cubic root of 38256048 is about 336.9509624662.

The spelling of 38256048 in words is "thirty-eight million, two hundred fifty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1341 1783 1788 2384 2682 3566 3576 5349 5364 7132 7152 10698 10728 14264 16047 21396 21456 28528 32094 42792 64188 85584 128376 256752 265667 531334 797001 1062668 1594002 2125336 2391003 3188004 4250672 4782006 6376008 9564012 12752016 19128024 38256048