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4490729136 = 2432671034519
BaseRepresentation
bin1000010111010101…
…10001011010110000
3102120222002200021100
410023222301122300
533144111313021
62021335524400
7216166365525
oct41352613260
912528080240
104490729136
1119a49992a3
12a53b29700
135674aba9a
143085b514c
151b43ab626
hex10bab16b0

4490729136 has 120 divisors (see below), whose sum is σ = 12882072320. Its totient is φ = 1459928448.

The previous prime is 4490729077. The next prime is 4490729189. The reversal of 4490729136 is 6319270944.

It is a happy number.

4490729136 is a `hidden beast` number, since 4 + 490 + 7 + 29 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4490729091 and 4490729100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 991485 + ... + 996003.

Almost surely, 24490729136 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 4490729136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441036160).

4490729136 is an abundant number, since it is smaller than the sum of its proper divisors (8391343184).

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

4490729136 is a wasteful number, since it uses less digits than its factorization.

4490729136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4490729136 is about 67012.9027576033. The cubic root of 4490729136 is about 1649.8290776117.

The spelling of 4490729136 in words is "four billion, four hundred ninety million, seven hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 103 134 144 201 206 268 309 402 412 536 603 618 804 824 927 1072 1206 1236 1608 1648 1854 2412 2472 3216 3708 4519 4824 4944 6901 7416 9038 9648 13557 13802 14832 18076 20703 27114 27604 36152 40671 41406 54228 55208 62109 72304 81342 82812 108456 110416 124218 162684 165624 216912 248436 302773 325368 331248 465457 496872 605546 650736 908319 930914 993744 1211092 1396371 1816638 1861828 2422184 2724957 2792742 3633276 3723656 4189113 4844368 5449914 5585484 7266552 7447312 8378226 10899828 11170968 14533104 16756452 21799656 22341936 31185619 33512904 43599312 62371238 67025808 93556857 124742476 187113714 249484952 280670571 374227428 498969904 561341142 748454856 1122682284 1496909712 2245364568 4490729136