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38016072 = 2332528001
BaseRepresentation
bin1001000100000…
…1010001001000
32122112102020200
42101001101020
534213003242
63434452200
7641063013
oct221012110
978472220
1038016072
111a506046
1210894060
137b50823
14509837a
15350e04c
hex2441448

38016072 has 24 divisors (see below), whose sum is σ = 102960390. Its totient is φ = 12672000.

The previous prime is 38016037. The next prime is 38016073. The reversal of 38016072 is 27061083.

It can be written as a sum of positive squares in only one way, i.e., 27941796 + 10074276 = 5286^2 + 3174^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (38016073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 263929 + ... + 264072.

Almost surely, 238016072 is an apocalyptic number.

It is an amenable number.

38016072 is an abundant number, since it is smaller than the sum of its proper divisors (64944318).

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

38016072 is a wasteful number, since it uses less digits than its factorization.

38016072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528013 (or 528006 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 38016072 is about 6165.7174764986. The cubic root of 38016072 is about 336.2449319542.

The spelling of 38016072 in words is "thirty-eight million, sixteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 528001 1056002 1584003 2112004 3168006 4224008 4752009 6336012 9504018 12672024 19008036 38016072