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308482048 = 212722953
BaseRepresentation
bin10010011000110…
…001000000000000
3210111110111211001
4102120301000000
51112432411143
650335501344
710434024400
oct2230610000
9714414731
10308482048
11149148146
1287387854
134bbaa774
142cd80800
151c13714d
hex12631000

308482048 has 156 divisors (see below), whose sum is σ = 756356940. Its totient is φ = 125239296.

The previous prime is 308482021. The next prime is 308482079. The reversal of 308482048 is 840284803.

It can be written as a sum of positive squares in 2 ways, for example, as 192876544 + 115605504 = 13888^2 + 10752^2 .

It is a super-2 number, since 2×3084820482 = 190322347876548608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 308481998 and 308482016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5820390 + ... + 5820442.

Almost surely, 2308482048 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 308482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378178470).

308482048 is an abundant number, since it is smaller than the sum of its proper divisors (447874892).

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

308482048 is an equidigital number, since it uses as much as digits as its factorization.

308482048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 308482048 is about 17563.6570223857. The cubic root of 308482048 is about 675.6834763401.

It can be divided in two parts, 30848 and 2048, that added together give a triangular number (32896 = T256).

The spelling of 308482048 in words is "three hundred eight million, four hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 53 56 58 64 98 106 112 116 128 196 203 212 224 232 256 371 392 406 424 448 464 512 742 784 812 848 896 928 1024 1421 1484 1537 1568 1624 1696 1792 1856 2048 2597 2842 2968 3074 3136 3248 3392 3584 3712 4096 5194 5684 5936 6148 6272 6496 6784 7168 7424 10388 10759 11368 11872 12296 12544 12992 13568 14336 14848 20776 21518 22736 23744 24592 25088 25984 27136 28672 29696 41552 43036 45472 47488 49184 50176 51968 54272 59392 75313 83104 86072 90944 94976 98368 100352 103936 108544 118784 150626 166208 172144 181888 189952 196736 200704 207872 217088 301252 332416 344288 363776 379904 393472 415744 602504 664832 688576 727552 759808 786944 831488 1205008 1329664 1377152 1455104 1519616 1573888 2410016 2659328 2754304 2910208 3147776 4820032 5318656 5508608 5820416 6295552 9640064 10637312 11017216 19280128 22034432 38560256 44068864 77120512 154241024 308482048