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38132672 = 264491327
BaseRepresentation
bin1001000101110…
…1101111000000
32122202100012012
42101131233000
534230221142
63441152052
7642056654
oct221355700
978670165
1038132672
111a585706
121092b628
137b91916
1450c8a64
153533882
hex245dbc0

38132672 has 28 divisors (see below), whose sum is σ = 75895200. Its totient is φ = 19009536.

The previous prime is 38132671. The next prime is 38132693. The reversal of 38132672 is 27623183.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38132671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28073 + ... + 29399.

Almost surely, 238132672 is an apocalyptic number.

38132672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38132672 is a deficient number, since it is larger than the sum of its proper divisors (37762528).

38132672 is a wasteful number, since it uses less digits than its factorization.

38132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1778 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 38132672 is about 6175.1657467634. The cubic root of 38132672 is about 336.5883493720.

It can be divided in two parts, 381326 and 72, that multiplied together give a palindrome (27455472).

The spelling of 38132672 in words is "thirty-eight million, one hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 449 898 1327 1796 2654 3592 5308 7184 10616 14368 21232 28736 42464 84928 595823 1191646 2383292 4766584 9533168 19066336 38132672