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38657970 = 232513193747
BaseRepresentation
bin1001001101110…
…1111110110010
32200202000202200
42103131332302
534344023340
63500324030
7646405311
oct223357662
980660680
1038657970
111a90433a
1210b43616
138016a50
1451c4278
1535d9330
hex24ddfb2

38657970 has 192 divisors, whose sum is σ = 119508480. Its totient is φ = 8584704.

The previous prime is 38657947. The next prime is 38657977. The reversal of 38657970 is 7975683.

Added to its reverse (7975683) it gives a triangular number (46633653 = T9657).

It is a happy number.

38657970 is a `hidden beast` number, since 3 + 8 + 6 + 579 + 70 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38657977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 822487 + ... + 822533.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 238657970 is an apocalyptic number.

38657970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38657970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

38657970 is an abundant number, since it is smaller than the sum of its proper divisors (80850510).

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

38657970 is a wasteful number, since it uses less digits than its factorization.

38657970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 38657970 is about 6217.5533773342. The cubic root of 38657970 is about 338.1268678652.

Adding to 38657970 its reverse (7975683), we get a triangular number (46633653 = T9657).

The spelling of 38657970 in words is "thirty-eight million, six hundred fifty-seven thousand, nine hundred seventy".