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38463696 = 24321312039
BaseRepresentation
bin1001001010111…
…0100011010000
32200101011021100
42102232203100
534321314241
63452224400
7644636025
oct222564320
980334240
1038463696
111a791387
1210a6b100
137c794ab
14517354c
15359b9b6
hex24ae8d0

38463696 has 60 divisors (see below), whose sum is σ = 108519840. Its totient is φ = 12717120.

The previous prime is 38463679. The next prime is 38463697. The reversal of 38463696 is 69636483.

38463696 is a `hidden beast` number, since 3 + 8 + 4 + 636 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38463697) 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 11 ways as a sum of consecutive naturals, for example, 17845 + ... + 19883.

It is an arithmetic number, because the mean of its divisors is an integer number (1808664).

Almost surely, 238463696 is an apocalyptic number.

38463696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38463696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54259920).

38463696 is an abundant number, since it is smaller than the sum of its proper divisors (70056144).

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

38463696 is a wasteful number, since it uses less digits than its factorization.

38463696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2175 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 38463696 is about 6201.9106733329. The cubic root of 38463696 is about 337.5595022662.

The spelling of 38463696 in words is "thirty-eight million, four hundred sixty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2039 2096 2358 3144 4078 4716 6117 6288 8156 9432 12234 16312 18351 18864 24468 32624 36702 48936 73404 97872 146808 267109 293616 534218 801327 1068436 1602654 2136872 2403981 3205308 4273744 4807962 6410616 9615924 12821232 19231848 38463696