Search a number
-
+
238381056 = 21135479
BaseRepresentation
bin11100011010101…
…10100000000000
3121121120000100000
432031112200000
5442011143211
635353200000
75623130334
oct1615264000
9547500300
10238381056
11112618241
1267a00000
133a504ca4
14239337c4
1515ddb656
hexe356800

238381056 has 144 divisors (see below), whose sum is σ = 715478400. Its totient is φ = 79294464.

The previous prime is 238381051. The next prime is 238381061. The reversal of 238381056 is 650183832.

It is an interprime number because it is at equal distance from previous prime (238381051) and next prime (238381061).

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 238381056.

It is not an unprimeable number, because it can be changed into a prime (238381051) 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, 497425 + ... + 497903.

It is an arithmetic number, because the mean of its divisors is an integer number (4968600).

Almost surely, 2238381056 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 238381056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357739200).

238381056 is an abundant number, since it is smaller than the sum of its proper divisors (477097344).

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

238381056 is an frugal number, since it uses more digits than its factorization.

238381056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 238381056 is about 15439.5937770396. The cubic root of 238381056 is about 620.0460042173.

The spelling of 238381056 in words is "two hundred thirty-eight million, three hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 479 486 512 576 648 768 864 958 972 1024 1152 1296 1437 1536 1728 1916 1944 2048 2304 2592 2874 3072 3456 3832 3888 4311 4608 5184 5748 6144 6912 7664 7776 8622 9216 10368 11496 12933 13824 15328 15552 17244 18432 20736 22992 25866 27648 30656 31104 34488 38799 41472 45984 51732 55296 61312 62208 68976 77598 82944 91968 103464 116397 122624 124416 137952 155196 165888 183936 206928 232794 245248 248832 275904 310392 367872 413856 465588 490496 497664 551808 620784 735744 827712 931176 980992 1103616 1241568 1471488 1655424 1862352 2207232 2483136 2942976 3310848 3724704 4414464 4966272 6621696 7449408 8828928 9932544 13243392 14898816 19865088 26486784 29797632 39730176 59595264 79460352 119190528 238381056