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38027264 = 21411211
BaseRepresentation
bin1001000100010…
…0000000000000
32122112222121012
42101010000000
534213333024
63435020052
7641140442
oct221040000
978488535
1038027264
111a5134a0
121089a628
137b55952
14509c492
15351250e
hex2444000

38027264 has 60 divisors (see below), whose sum is σ = 83359248. Its totient is φ = 17203200.

The previous prime is 38027251. The next prime is 38027281. The reversal of 38027264 is 46272083.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 38027264.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180119 + ... + 180329.

Almost surely, 238027264 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 38027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41679624).

38027264 is an abundant number, since it is smaller than the sum of its proper divisors (45331984).

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

38027264 is an equidigital number, since it uses as much as digits as its factorization.

38027264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 38027264 is about 6166.6250088683. The cubic root of 38027264 is about 336.2779257543.

The spelling of 38027264 in words is "thirty-eight million, twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 211 256 352 422 512 704 844 1024 1408 1688 2048 2321 2816 3376 4096 4642 5632 6752 8192 9284 11264 13504 16384 18568 22528 27008 37136 45056 54016 74272 90112 108032 148544 180224 216064 297088 432128 594176 864256 1188352 1728512 2376704 3457024 4753408 9506816 19013632 38027264