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38023965 = 335740237
BaseRepresentation
bin1001000100001…
…1001100011101
32122112211002000
42101003030131
534213231330
63434552513
7641125020
oct221031435
978484060
1038023965
111a510a71
1210898739
137b542b5
14509b1b7
153511560
hex244331d

38023965 has 32 divisors (see below), whose sum is σ = 77256960. Its totient is φ = 17381952.

The previous prime is 38023963. The next prime is 38023967. The reversal of 38023965 is 56932083.

It is an interprime number because it is at equal distance from previous prime (38023963) and next prime (38023967).

It is not a de Polignac number, because 38023965 - 21 = 38023963 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38023963) 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, 19174 + ... + 21063.

It is an arithmetic number, because the mean of its divisors is an integer number (2414280).

Almost surely, 238023965 is an apocalyptic number.

38023965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38023965 is an abundant number, since it is smaller than the sum of its proper divisors (39232995).

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

38023965 is a wasteful number, since it uses less digits than its factorization.

38023965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40258 (or 40252 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 38023965 is about 6166.3575147732. The cubic root of 38023965 is about 336.2682010389.

The spelling of 38023965 in words is "thirty-eight million, twenty-three thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 40237 120711 201185 281659 362133 603555 844977 1086399 1408295 1810665 2534931 4224885 5431995 7604793 12674655 38023965