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38235645 = 345713487
BaseRepresentation
bin1001000111011…
…0110111111101
32122221120110000
42101312313331
534242020040
63443304513
7642666120
oct221666775
978846400
1038235645
111a646008
121097b139
137bc9756
1451143b7
153554130
hex2476dfd

38235645 has 40 divisors (see below), whose sum is σ = 78338304. Its totient is φ = 17477856.

The previous prime is 38235629. The next prime is 38235647. The reversal of 38235645 is 54653283.

It is a happy number.

38235645 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 5 + 645 = 666.

It is not a de Polignac number, because 38235645 - 24 = 38235629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38235647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3909 + ... + 9578.

Almost surely, 238235645 is an apocalyptic number.

38235645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38235645 is an abundant number, since it is smaller than the sum of its proper divisors (40102659).

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

38235645 is a wasteful number, since it uses less digits than its factorization.

38235645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13511 (or 13502 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 38235645 is about 6183.4977965550. The cubic root of 38235645 is about 336.8910500830.

It can be divided in two parts, 3 and 8235645, that multiplied together give a triangular number (24706935 = T7029).

The spelling of 38235645 in words is "thirty-eight million, two hundred thirty-five thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 13487 40461 67435 94409 121383 202305 283227 364149 472045 606915 849681 1092447 1416135 1820745 2549043 4248405 5462235 7647129 12745215 38235645