Search a number
-
+
4252020416 = 267171793119
BaseRepresentation
bin1111110101110000…
…1010111011000000
3101222022221000110122
43331130022323000
532202004123131
61541531315412
7210240401660
oct37534127300
911868830418
104252020416
111892177966
129a7babb68
13529bc0917
142c49d81a0
1519d457d7b
hexfd70aec0

4252020416 has 112 divisors (see below), whose sum is σ = 10270540800. Its totient is φ = 1704972288.

The previous prime is 4252020413. The next prime is 4252020439. The reversal of 4252020416 is 6140202524.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×42520204163 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4252020413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1361705 + ... + 1364823.

Almost surely, 24252020416 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 4252020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135270400).

4252020416 is an abundant number, since it is smaller than the sum of its proper divisors (6018520384).

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

4252020416 is a wasteful number, since it uses less digits than its factorization.

4252020416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4252020416 is about 65207.5180941584. The cubic root of 4252020416 is about 1620.0625408970.

The spelling of 4252020416 in words is "four billion, two hundred fifty-two million, twenty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 179 224 238 272 358 448 476 544 716 952 1088 1253 1432 1904 2506 2864 3043 3119 3808 5012 5728 6086 6238 7616 10024 11456 12172 12476 20048 21301 21833 24344 24952 40096 42602 43666 48688 49904 53023 80192 85204 87332 97376 99808 106046 170408 174664 194752 199616 212092 340816 349328 371161 424184 558301 681632 698656 742322 848368 1116602 1363264 1397312 1484644 1696736 2233204 2969288 3393472 3908107 4466408 5938576 7816214 8932816 9491117 11877152 15632428 17865632 18982234 23754304 31264856 35731264 37964468 62529712 66437819 75928936 125059424 132875638 151857872 250118848 265751276 303715744 531502552 607431488 1063005104 2126010208 4252020416