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38359242 = 23217671871
BaseRepresentation
bin1001001001010…
…1000011001010
32200011211222200
42102111003022
534304443432
63450101030
7644022345
oct222250312
980154880
1038359242
111a71a959
1210a1a776
137c40a9c
14514745c
15357aa7c
hex24950ca

38359242 has 48 divisors (see below), whose sum is σ = 89361792. Its totient is φ = 11848320.

The previous prime is 38359213. The next prime is 38359253. The reversal of 38359242 is 24295383.

It is a junction number, because it is equal to n+sod(n) for n = 38359197 and 38359206.

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, 19567 + ... + 21437.

It is an arithmetic number, because the mean of its divisors is an integer number (1861704).

Almost surely, 238359242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38359242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44680896).

38359242 is an abundant number, since it is smaller than the sum of its proper divisors (51002550).

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

38359242 is a wasteful number, since it uses less digits than its factorization.

38359242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1960 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 38359242 is about 6193.4838338370. The cubic root of 38359242 is about 337.2536605711.

The spelling of 38359242 in words is "thirty-eight million, three hundred fifty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 67 102 134 153 201 306 402 603 1139 1206 1871 2278 3417 3742 5613 6834 10251 11226 16839 20502 31807 33678 63614 95421 125357 190842 250714 286263 376071 572526 752142 1128213 2131069 2256426 4262138 6393207 12786414 19179621 38359242