Search a number
-
+
3881732148 = 22327196831187
BaseRepresentation
bin1110011101011110…
…1000100000110100
3101000112011102110100
43213113220200310
530422210412043
61441102554100
7165123115230
oct34727504064
911015142410
103881732148
1117121558a8
12903b98930
1349b283038
1428b7695c0
1517abb2cd3
hexe75e8834

3881732148 has 144 divisors (see below), whose sum is σ = 11831339520. Its totient is φ = 1048272192.

The previous prime is 3881732143. The next prime is 3881732203. The reversal of 3881732148 is 8412371883.

3881732148 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3881732143) 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, 3269611 + ... + 3270797.

It is an arithmetic number, because the mean of its divisors is an integer number (82162080).

Almost surely, 23881732148 is an apocalyptic number.

3881732148 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3881732148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915669760).

3881732148 is an abundant number, since it is smaller than the sum of its proper divisors (7949607372).

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

3881732148 is a wasteful number, since it uses less digits than its factorization.

3881732148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1901 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 3881732148 is about 62303.5484382712. The cubic root of 3881732148 is about 1571.5994016424.

The spelling of 3881732148 in words is "three billion, eight hundred eighty-one million, seven hundred thirty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 683 684 798 1187 1197 1366 1596 2049 2374 2394 2732 3561 4098 4748 4781 4788 6147 7122 8196 8309 9562 10683 12294 12977 14244 14343 16618 19124 21366 22553 24588 24927 25954 28686 33236 38931 42732 43029 45106 49854 51908 57372 67659 74781 77862 86058 90212 90839 99708 116793 135318 149562 155724 157871 172116 181678 202977 233586 270636 272517 299124 315742 363356 405954 467172 473613 545034 631484 810721 811908 817551 947226 1090068 1420839 1621442 1635102 1894452 2432163 2841678 3242884 3270204 4864326 5675047 5683356 7296489 9728652 11350094 14592978 15403699 17025141 22700188 29185956 30807398 34050282 46211097 51075423 61614796 68100564 92422194 102150846 107825893 138633291 184844388 204301692 215651786 277266582 323477679 431303572 554533164 646955358 970433037 1293910716 1940866074 3881732148