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38022048 = 253414669
BaseRepresentation
bin1001000100001…
…0101110100000
32122112201110000
42101002232200
534213201143
63434540000
7641116311
oct221025640
978481400
1038022048
111a50a589
1210897600
137b5346c
14509a608
153510bd3
hex2442ba0

38022048 has 60 divisors (see below), whose sum is σ = 111829410. Its totient is φ = 12673152.

The previous prime is 38022043. The next prime is 38022067. The reversal of 38022048 is 84022083.

It can be written as a sum of positive squares in only one way, i.e., 30338064 + 7683984 = 5508^2 + 2772^2 .

It is a super-2 number, since 2×380220482 = 2891352268228608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (38022043) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4743 + ... + 9926.

Almost surely, 238022048 is an apocalyptic number.

It is an amenable number.

38022048 is an abundant number, since it is smaller than the sum of its proper divisors (73807362).

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

38022048 is a wasteful number, since it uses less digits than its factorization.

38022048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14691 (or 14674 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 38022048 is about 6166.2020725889. The cubic root of 38022048 is about 336.2625498925.

The spelling of 38022048 in words is "thirty-eight million, twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 14669 29338 44007 58676 88014 117352 132021 176028 234704 264042 352056 396063 469408 528084 704112 792126 1056168 1188189 1408224 1584252 2112336 2376378 3168504 4224672 4752756 6337008 9505512 12674016 19011024 38022048