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38226252 = 22319389431
BaseRepresentation
bin1001000111010…
…0100101001100
32122221002120010
42101310211030
534241220002
63443153220
7642626541
oct221644514
978832503
1038226252
111a639a49
1210975810
137bc53ac
145110bc8
15355146c
hex247494c

38226252 has 48 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 12012480.

The previous prime is 38226241. The next prime is 38226257. The reversal of 38226252 is 25262283.

It is a super-2 number, since 2×382262522 = 2922492683935008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38226257) 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 15 ways as a sum of consecutive naturals, for example, 88477 + ... + 88907.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 238226252 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 38226252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

38226252 is an abundant number, since it is smaller than the sum of its proper divisors (56122548).

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

38226252 is a wasteful number, since it uses less digits than its factorization.

38226252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 844 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 38226252 is about 6182.7382283257. The cubic root of 38226252 is about 336.8634608462.

The spelling of 38226252 in words is "thirty-eight million, two hundred twenty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 389 431 778 862 1167 1293 1556 1724 2334 2586 4668 5172 7391 8189 14782 16378 22173 24567 29564 32756 44346 49134 88692 98268 167659 335318 502977 670636 1005954 2011908 3185521 6371042 9556563 12742084 19113126 38226252