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38083716 = 22331132057
BaseRepresentation
bin1001000101000…
…1110010000100
32122122212001000
42101101302010
534222134331
63440133300
7641464146
oct221216204
978585030
1038083716
111a551950
1210907230
137b75558
1450b4c96
1535240e6
hex2451c84

38083716 has 48 divisors (see below), whose sum is σ = 107714880. Its totient is φ = 11540160.

The previous prime is 38083697. The next prime is 38083729. The reversal of 38083716 is 61738083.

38083716 is nontrivially palindromic in base 7.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14841 + ... + 17216.

It is an arithmetic number, because the mean of its divisors is an integer number (2244060).

Almost surely, 238083716 is an apocalyptic number.

38083716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38083716 is an abundant number, since it is smaller than the sum of its proper divisors (69631164).

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

38083716 is a wasteful number, since it uses less digits than its factorization.

38083716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32081 (or 32073 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 38083716 is about 6171.2005315011. The cubic root of 38083716 is about 336.4442465587. Note that the first 3 decimals are identical.

The spelling of 38083716 in words is "thirty-eight million, eighty-three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 32057 64114 96171 128228 192342 288513 352627 384684 577026 705254 865539 1057881 1154052 1410508 1731078 2115762 3173643 3462156 4231524 6347286 9520929 12694572 19041858 38083716