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38018826 = 23229173421
BaseRepresentation
bin1001000100000…
…1111100001010
32122112120000200
42101001330022
534213100301
63434513030
7641104026
oct221017412
978476020
1038018826
111a50811a
1210895776
137b51b61
145099386
15350ec86
hex2441f0a

38018826 has 48 divisors (see below), whose sum is σ = 85910760. Its totient is φ = 12136320.

The previous prime is 38018821. The next prime is 38018881. The reversal of 38018826 is 62881083.

It can be written as a sum of positive squares in 4 ways, for example, as 29322225 + 8696601 = 5415^2 + 2949^2 .

It is a super-2 number, since 2×380188262 = 2890862260836552, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38018821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90096 + ... + 90516.

Almost surely, 238018826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38018826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42955380).

38018826 is an abundant number, since it is smaller than the sum of its proper divisors (47891934).

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

38018826 is a wasteful number, since it uses less digits than its factorization.

38018826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 38018826 is about 6165.9408041271. The cubic root of 38018826 is about 336.2530512937.

The spelling of 38018826 in words is "thirty-eight million, eighteen thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 58 87 173 174 261 346 421 519 522 842 1038 1263 1557 2526 3114 3789 5017 7578 10034 12209 15051 24418 30102 36627 45153 72833 73254 90306 109881 145666 218499 219762 436998 655497 1310994 2112157 4224314 6336471 12672942 19009413 38018826