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38213826 = 2372196841
BaseRepresentation
bin1001000111000…
…1100011000010
32122220110111220
42101301203002
534240320301
63443015510
7642545400
oct221614302
978813456
1038213826
111a630682
121096a596
137bbc841
14510a470
15354c936
hex24718c2

38213826 has 48 divisors (see below), whose sum is σ = 93598560. Its totient is φ = 10342080.

The previous prime is 38213809. The next prime is 38213831. The reversal of 38213826 is 62831283.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2166 + ... + 9006.

It is an arithmetic number, because the mean of its divisors is an integer number (1949970).

Almost surely, 238213826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38213826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46799280).

38213826 is an abundant number, since it is smaller than the sum of its proper divisors (55384734).

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

38213826 is a wasteful number, since it uses less digits than its factorization.

38213826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6879 (or 6872 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 38213826 is about 6181.7332520904. The cubic root of 38213826 is about 336.8269560989.

The spelling of 38213826 in words is "thirty-eight million, two hundred thirteen thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 798 931 1862 2793 5586 6841 13682 20523 41046 47887 95774 129979 143661 259958 287322 335209 389937 670418 779874 909853 1005627 1819706 2011254 2729559 5459118 6368971 12737942 19106913 38213826