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38675952 = 24327173761
BaseRepresentation
bin1001001110001…
…0010111110000
32200202221102200
42103202113300
534400112302
63500543200
7646511610
oct223422760
980687380
1038675952
111a9168a7
1210b51b00
138021ca3
1451caa40
1535de81c
hex24e25f0

38675952 has 240 divisors, whose sum is σ = 136723392. Its totient is φ = 9953280.

The previous prime is 38675947. The next prime is 38675953. The reversal of 38675952 is 25957683.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38675898 and 38675907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38675953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634002 + ... + 634062.

Almost surely, 238675952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38675952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68361696).

38675952 is an abundant number, since it is smaller than the sum of its proper divisors (98047440).

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

38675952 is a wasteful number, since it uses less digits than its factorization.

38675952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 38675952 is about 6218.9992764110. Note that the first 3 decimals coincide. The cubic root of 38675952 is about 338.1792870242.

The spelling of 38675952 in words is "thirty-eight million, six hundred seventy-five thousand, nine hundred fifty-two".