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38225824 = 2571313127
BaseRepresentation
bin1001000111010…
…0011110100000
32122221001222021
42101310132200
534241211244
63443151224
7642625360
oct221643640
978831867
1038225824
111a63969a
1210975514
137bc5140
1451109a0
153551284
hex24747a0

38225824 has 48 divisors (see below), whose sum is σ = 92631168. Its totient is φ = 15121152.

The previous prime is 38225813. The next prime is 38225827. The reversal of 38225824 is 42852283.

It is a happy number.

It is a super-2 number, since 2×382258242 = 2922427240957952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38225824.

It is not an unprimeable number, because it can be changed into a prime (38225827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3652 + ... + 9475.

It is an arithmetic number, because the mean of its divisors is an integer number (1929816).

Almost surely, 238225824 is an apocalyptic number.

It is an amenable number.

38225824 is an abundant number, since it is smaller than the sum of its proper divisors (54405344).

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

38225824 is a wasteful number, since it uses less digits than its factorization.

38225824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13157 (or 13149 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

The square root of 38225824 is about 6182.7036157332. The cubic root of 38225824 is about 336.8622036116.

The spelling of 38225824 in words is "thirty-eight million, two hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 13127 26254 52508 91889 105016 170651 183778 210032 341302 367556 420064 682604 735112 1194557 1365208 1470224 2389114 2730416 2940448 4778228 5460832 9556456 19112912 38225824