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38243970 = 2325735821
BaseRepresentation
bin1001000111100…
…0111010000010
32122221222212100
42101320322002
534242301340
63443411230
7643032312
oct221707202
978858770
1038243970
111a651296
1210983b16
137c0048b
145117442
153556830
hex2478e82

38243970 has 48 divisors (see below), whose sum is σ = 100813752. Its totient is φ = 10056960.

The previous prime is 38243957. The next prime is 38243971. The reversal of 38243970 is 7934283.

It can be written as a sum of positive squares in 4 ways, for example, as 36397089 + 1846881 = 6033^2 + 1359^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (38243971) 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 23 ways as a sum of consecutive naturals, for example, 3660 + ... + 9480.

Almost surely, 238243970 is an apocalyptic number.

38243970 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 38243970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50406876).

38243970 is an abundant number, since it is smaller than the sum of its proper divisors (62569782).

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

38243970 is a wasteful number, since it uses less digits than its factorization.

38243970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 38243970 is about 6184.1709226056. The cubic root of 38243970 is about 336.9154986002.

The spelling of 38243970 in words is "thirty-eight million, two hundred forty-three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 5821 6570 11642 17463 29105 34926 52389 58210 87315 104778 174630 261945 424933 523890 849866 1274799 2124665 2549598 3824397 4249330 6373995 7648794 12747990 19121985 38243970