Search a number
-
+
39483808 = 2572132149
BaseRepresentation
bin1001011010011…
…1100110100000
32202021222121021
42112213212200
540101440213
63530135224
7656415100
oct226474640
982258537
1039483808
1120318851
1211281514
138245900
14535b200
1536edd8d
hex25a79a0

39483808 has 108 divisors (see below), whose sum is σ = 98572950. Its totient is φ = 15515136.

The previous prime is 39483799. The next prime is 39483823. The reversal of 39483808 is 80838493.

It can be written as a sum of positive squares in 3 ways, for example, as 11478544 + 28005264 = 3388^2 + 5292^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 264918 + ... + 265066.

Almost surely, 239483808 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 39483808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49286475).

39483808 is an abundant number, since it is smaller than the sum of its proper divisors (59089142).

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

39483808 is a wasteful number, since it uses less digits than its factorization.

39483808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 39483808 is about 6283.6142465941. The cubic root of 39483808 is about 340.5176888681.

The spelling of 39483808 in words is "thirty-nine million, four hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 149 169 182 196 208 224 298 338 364 392 416 596 637 676 728 784 1043 1183 1192 1274 1352 1456 1568 1937 2086 2366 2384 2548 2704 2912 3874 4172 4732 4768 5096 5408 7301 7748 8281 8344 9464 10192 13559 14602 15496 16562 16688 18928 20384 25181 27118 29204 30992 33124 33376 37856 50362 54236 58408 61984 66248 94913 100724 108472 116816 132496 176267 189826 201448 216944 233632 264992 352534 379652 402896 433888 705068 759304 805792 1233869 1410136 1518608 2467738 2820272 3037216 4935476 5640544 9870952 19741904 39483808