Search a number
-
+
4485298048 = 277114331051
BaseRepresentation
bin1000010110101100…
…00011011110000000
3102120120212202012221
410023112003132000
533141214014143
62021023300424
7216102255460
oct41326033600
912516782187
104485298048
1119a19198a0
12a5214a714
13566329a1a
1430799dba0
151b3b872ed
hex10b583780

4485298048 has 128 divisors (see below), whose sum is σ = 11176784640. Its totient is φ = 1741824000.

The previous prime is 4485298019. The next prime is 4485298109. The reversal of 4485298048 is 8408925844.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×44852980482 = 40235797158785220608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4485297986 and 4485298004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4267123 + ... + 4268173.

It is an arithmetic number, because the mean of its divisors is an integer number (87318630).

Almost surely, 24485298048 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 4485298048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588392320).

4485298048 is an abundant number, since it is smaller than the sum of its proper divisors (6691486592).

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

4485298048 is a wasteful number, since it uses less digits than its factorization.

4485298048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 52.

The square root of 4485298048 is about 66972.3677944867. The cubic root of 4485298048 is about 1649.1637081891.

The spelling of 4485298048 in words is "four billion, four hundred eighty-five million, two hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 433 448 616 704 866 896 1051 1232 1408 1732 2102 2464 3031 3464 4204 4763 4928 6062 6928 7357 8408 9526 9856 11561 12124 13856 14714 16816 19052 23122 24248 27712 29428 33341 33632 38104 46244 48496 55424 58856 66682 67264 76208 80927 92488 96992 117712 133364 134528 152416 161854 184976 193984 235424 266728 304832 323708 369952 387968 455083 470848 533456 609664 647416 739904 910166 941696 1066912 1294832 1479808 1820332 2133824 2589664 3185581 3640664 4267648 5005913 5179328 6371162 7281328 10011826 10358656 12742324 14562656 20023652 25484648 29125312 35041391 40047304 50969296 58250624 70082782 80094608 101938592 140165564 160189216 203877184 280331128 320378432 407754368 560662256 640756864 1121324512 2242649024 4485298048