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38885376 = 21136329
BaseRepresentation
bin1001010001010…
…1100000000000
32201011120201010
42110111200000
534423313001
63505240520
7651343305
oct224254000
981146633
1038885376
111aa4a182
1211033140
1380963ca
1452430ac
1536318d6
hex2515800

38885376 has 48 divisors (see below), whose sum is σ = 103685400. Its totient is φ = 12959744.

The previous prime is 38885321. The next prime is 38885453. The reversal of 38885376 is 67358883.

It is a happy number.

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

It is a super-2 number, since 2×388853762 = 3024144933322752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2980 + ... + 9308.

Almost surely, 238885376 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 38885376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51842700).

38885376 is an abundant number, since it is smaller than the sum of its proper divisors (64800024).

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

38885376 is an equidigital number, since it uses as much as digits as its factorization.

38885376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6354 (or 6334 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 38885376 is about 6235.8139805482. The cubic root of 38885376 is about 338.7885839050.

The spelling of 38885376 in words is "thirty-eight million, eight hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 6329 12658 18987 25316 37974 50632 75948 101264 151896 202528 303792 405056 607584 810112 1215168 1620224 2430336 3240448 4860672 6480896 9721344 12961792 19442688 38885376