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38148693 = 3113189419
BaseRepresentation
bin1001000110000…
…1101001010101
32122210011011120
42101201221111
534231224233
63441354153
7642154452
oct221415125
978704146
1038148693
111a596750
1210938959
137b98cbb
1450d0829
1535384b3
hex2461a55

38148693 has 32 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 22070400.

The previous prime is 38148679. The next prime is 38148701. The reversal of 38148693 is 39684183.

It is a happy number.

It is not a de Polignac number, because 38148693 - 28 = 38148437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38148653) 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 31 ways as a sum of consecutive naturals, for example, 90838 + ... + 91256.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 238148693 is an apocalyptic number.

38148693 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

38148693 is a deficient number, since it is larger than the sum of its proper divisors (19912107).

38148693 is a wasteful number, since it uses less digits than its factorization.

38148693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553.

The product of its digits is 124416, while the sum is 42.

The square root of 38148693 is about 6176.4628226842. The cubic root of 38148693 is about 336.6354806695.

The spelling of 38148693 in words is "thirty-eight million, one hundred forty-eight thousand, six hundred ninety-three".

Divisors: 1 3 11 31 33 89 93 267 341 419 979 1023 1257 2759 2937 4609 8277 12989 13827 30349 37291 38967 91047 111873 142879 410201 428637 1156021 1230603 3468063 12716231 38148693