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38468016 = 2432267139
BaseRepresentation
bin1001001010111…
…1100110110000
32200101101012100
42102233212300
534321434031
63452300400
7644654436
oct222574660
980341170
1038468016
111a794654
1210a71700
137c7b452
145174d56
15359cde6
hex24af9b0

38468016 has 30 divisors (see below), whose sum is σ = 107657420. Its totient is φ = 12822624.

The previous prime is 38467997. The next prime is 38468039. The reversal of 38468016 is 61086483.

It is a happy number.

38468016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133426 + ... + 133713.

Almost surely, 238468016 is an apocalyptic number.

38468016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38468016 is an abundant number, since it is smaller than the sum of its proper divisors (69189404).

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

38468016 is a wasteful number, since it uses less digits than its factorization.

38468016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267153 (or 267144 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38468016 is about 6202.2589433206. The cubic root of 38468016 is about 337.5721393119.

The spelling of 38468016 in words is "thirty-eight million, four hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 267139 534278 801417 1068556 1602834 2137112 2404251 3205668 4274224 4808502 6411336 9617004 12822672 19234008 38468016