Search a number
-
+
38705056 = 2513217421
BaseRepresentation
bin1001001110100…
…1011110100000
32200211102100121
42103221132200
534402030211
63501330024
7646662505
oct223513640
980742317
1038705056
111a936755
1210b66914
138032300
1451d74ac
1535e8271
hex24e97a0

38705056 has 72 divisors (see below), whose sum is σ = 87574284. Its totient is φ = 16773120.

The previous prime is 38705041. The next prime is 38705059. The reversal of 38705056 is 65050783.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1299600 + 37405456 = 1140^2 + 6116^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (38705059) 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, 91726 + ... + 92146.

Almost surely, 238705056 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 38705056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43787142).

38705056 is an abundant number, since it is smaller than the sum of its proper divisors (48869228).

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

38705056 is a wasteful number, since it uses less digits than its factorization.

38705056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 38705056 is about 6221.3387626780. The cubic root of 38705056 is about 338.2640934019.

The spelling of 38705056 in words is "thirty-eight million, seven hundred five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 169 208 221 272 338 416 421 442 544 676 842 884 1352 1684 1768 2704 2873 3368 3536 5408 5473 5746 6736 7072 7157 10946 11492 13472 14314 21892 22984 28628 43784 45968 57256 71149 87568 91936 93041 114512 142298 175136 186082 229024 284596 372164 569192 744328 1138384 1209533 1488656 2276768 2419066 2977312 4838132 9676264 19352528 38705056