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38114424 = 2332677901
BaseRepresentation
bin1001000101100…
…1010001111000
32122201102011100
42101121101320
534224130144
63440531400
7641652525
oct221312170
978642140
1038114424
111a572a27
1210920b60
137b8651a
1450c214c
15352d269
hex2459478

38114424 has 48 divisors (see below), whose sum is σ = 104780520. Its totient is φ = 12513600.

The previous prime is 38114389. The next prime is 38114431. The reversal of 38114424 is 42441183.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 874 + ... + 8774.

Almost surely, 238114424 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 38114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52390260).

38114424 is an abundant number, since it is smaller than the sum of its proper divisors (66666096).

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

38114424 is a wasteful number, since it uses less digits than its factorization.

38114424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980 (or 7973 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 38114424 is about 6173.6880387658. The cubic root of 38114424 is about 336.5346505019.

The spelling of 38114424 in words is "thirty-eight million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 7901 15802 23703 31604 47406 63208 71109 94812 142218 189624 284436 529367 568872 1058734 1588101 2117468 3176202 4234936 4764303 6352404 9528606 12704808 19057212 38114424