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38052224 = 27726067
BaseRepresentation
bin1001000100101…
…0000110000000
32122121020211122
42101022012000
534220132344
63435331412
7641303300
oct221120600
978536748
1038052224
111a530221
12108b0b68
137b64112
1450a7600
153519aee
hex244a180

38052224 has 48 divisors (see below), whose sum is σ = 88198380. Its totient is φ = 16305408.

The previous prime is 38052163. The next prime is 38052233. The reversal of 38052224 is 42225083.

It is a junction number, because it is equal to n+sod(n) for n = 38052193 and 38052202.

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 5 ways as a sum of consecutive naturals, for example, 3239 + ... + 9305.

Almost surely, 238052224 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 38052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44099190).

38052224 is an abundant number, since it is smaller than the sum of its proper divisors (50146156).

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

38052224 is an equidigital number, since it uses as much as digits as its factorization.

38052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6095 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 38052224 is about 6168.6484743418. The cubic root of 38052224 is about 336.3514840420.

The spelling of 38052224 in words is "thirty-eight million, fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6067 6272 12134 24268 42469 48536 84938 97072 169876 194144 297283 339752 388288 594566 679504 776576 1189132 1359008 2378264 2718016 4756528 5436032 9513056 19026112 38052224