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38259072 = 273233211
BaseRepresentation
bin1001000111110…
…0100110000000
32122222202120200
42101330212000
534243242242
63444005200
7643124325
oct221744600
978882520
1038259072
111a661675
1210990800
137c07307
14511cb4c
15355b04c
hex247c980

38259072 has 48 divisors (see below), whose sum is σ = 110097780. Its totient is φ = 12752640.

The previous prime is 38259043. The next prime is 38259083. The reversal of 38259072 is 27095283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15454 + ... + 17757.

Almost surely, 238259072 is an apocalyptic number.

38259072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38259072 is an abundant number, since it is smaller than the sum of its proper divisors (71838708).

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

38259072 is a wasteful number, since it uses less digits than its factorization.

38259072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33231 (or 33216 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 38259072 is about 6185.3918226738. The cubic root of 38259072 is about 336.9598404774.

The spelling of 38259072 in words is "thirty-eight million, two hundred fifty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 33211 66422 99633 132844 199266 265688 298899 398532 531376 597798 797064 1062752 1195596 1594128 2125504 2391192 3188256 4251008 4782384 6376512 9564768 12753024 19129536 38259072