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38261088 = 2532132851
BaseRepresentation
bin1001000111110…
…1000101100000
32122222212100100
42101331011200
534243323323
63444022400
7643133235
oct221750540
978885310
1038261088
111a663138
1210991a00
137c081c8
14511d78c
15355b943
hex247d160

38261088 has 36 divisors (see below), whose sum is σ = 108805788. Its totient is φ = 12753600.

The previous prime is 38261081. The next prime is 38261107. The reversal of 38261088 is 88016283.

38261088 is a `hidden beast` number, since 38 + 2 + 610 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38261081) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 66138 + ... + 66713.

It is an arithmetic number, because the mean of its divisors is an integer number (3022383).

Almost surely, 238261088 is an apocalyptic number.

It is an amenable number.

38261088 is an abundant number, since it is smaller than the sum of its proper divisors (70544700).

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

38261088 is a wasteful number, since it uses less digits than its factorization.

38261088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132867 (or 132856 counting only the distinct ones).

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

The square root of 38261088 is about 6185.5547851426. The cubic root of 38261088 is about 336.9657588916.

The spelling of 38261088 in words is "thirty-eight million, two hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 132851 265702 398553 531404 797106 1062808 1195659 1594212 2125616 2391318 3188424 4251232 4782636 6376848 9565272 12753696 19130544 38261088