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39485056 = 271361389
BaseRepresentation
bin1001011010011…
…1111010000000
32202022001022111
42112213322000
540102010211
63530145104
7656421532
oct226477200
982261274
1039485056
1120319786
1211282194
138246350
14535b852
1536ee421
hex25a7e80

39485056 has 64 divisors (see below), whose sum is σ = 86322600. Its totient is φ = 17879040.

The previous prime is 39485023. The next prime is 39485057. The reversal of 39485056 is 65058493.

It can be written as a sum of positive squares in 4 ways, for example, as 10497600 + 28987456 = 3240^2 + 5384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (39485057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101310 + ... + 101698.

Almost surely, 239485056 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 39485056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43161300).

39485056 is an abundant number, since it is smaller than the sum of its proper divisors (46837544).

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

39485056 is a wasteful number, since it uses less digits than its factorization.

39485056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 39485056 is about 6283.7135517145. The cubic root of 39485056 is about 340.5212765126.

The spelling of 39485056 in words is "thirty-nine million, four hundred eighty-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 128 208 244 389 416 488 778 793 832 976 1556 1586 1664 1952 3112 3172 3904 5057 6224 6344 7808 10114 12448 12688 20228 23729 24896 25376 40456 47458 49792 50752 80912 94916 101504 161824 189832 308477 323648 379664 616954 647296 759328 1233908 1518656 2467816 3037312 4935632 9871264 19742528 39485056