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38539264 = 212972
BaseRepresentation
bin1001001100000…
…1000000000000
32200111222221011
42103001000000
534331224024
63454010304
7645402241
oct223010000
980458834
1038539264
111a833135
1210aa6994
137ca49ca
145192cc8
1535b4094
hex24c1000

38539264 has 39 divisors (see below), whose sum is σ = 77871837. Its totient is φ = 19070976.

The previous prime is 38539253. The next prime is 38539273. The reversal of 38539264 is 46293583.

The square root of 38539264 is 6208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17305600 + 21233664 = 4160^2 + 4608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 397264 + ... + 397360.

Almost surely, 238539264 is an apocalyptic number.

38539264 is the 6208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38539264

38539264 is an abundant number, since it is smaller than the sum of its proper divisors (39332573).

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

38539264 is an frugal number, since it uses more digits than its factorization.

38539264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 99 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The cubic root of 38539264 is about 337.7804206216.

The spelling of 38539264 in words is "thirty-eight million, five hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1024 1552 2048 3104 4096 6208 9409 12416 18818 24832 37636 49664 75272 99328 150544 198656 301088 397312 602176 1204352 2408704 4817408 9634816 19269632 38539264