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38523780 = 22325214021
BaseRepresentation
bin1001001011110…
…1001110000100
32200111012200200
42102331032010
534330230110
63453410500
7645306141
oct222751604
980435620
1038523780
111a822539
1210a99a30
137c9a949
14518b3c8
1535ae6c0
hex24bd384

38523780 has 36 divisors (see below), whose sum is σ = 116856012. Its totient is φ = 10272960.

The previous prime is 38523769. The next prime is 38523787. The reversal of 38523780 is 8732583.

It can be written as a sum of positive squares in 2 ways, for example, as 9622404 + 28901376 = 3102^2 + 5376^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (38523787) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106831 + ... + 107190.

Almost surely, 238523780 is an apocalyptic number.

38523780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38523780 is an abundant number, since it is smaller than the sum of its proper divisors (78332232).

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

38523780 is a wasteful number, since it uses less digits than its factorization.

38523780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214036 (or 214031 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 38523780 is about 6206.7527741968. The cubic root of 38523780 is about 337.7351776486.

Adding to 38523780 its product of nonzero digits (40320), we get a square (38564100 = 62102).

The spelling of 38523780 in words is "thirty-eight million, five hundred twenty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 214021 428042 642063 856084 1070105 1284126 1926189 2140210 2568252 3210315 3852378 4280420 6420630 7704756 9630945 12841260 19261890 38523780