Search a number
-
+
48297345404 = 22711315395441
BaseRepresentation
bin101100111110101111…
…110000000101111100
311121122220222100121112
4230332233300011330
51242403110023104
634104255421152
73326565443120
oct547657600574
9147586870545
1048297345404
11195346574a0
12943a8247b8
1347290a40b9
1424a2557580
1513ca16986e
hexb3ebf017c

48297345404 has 96 divisors (see below), whose sum is σ = 110828777472. Its totient is φ = 17866368000.

The previous prime is 48297345347. The next prime is 48297345407. The reversal of 48297345404 is 40454379284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48297345407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458324 + ... + 553764.

It is an arithmetic number, because the mean of its divisors is an integer number (1154466432).

Almost surely, 248297345404 is an apocalyptic number.

48297345404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48297345404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55414388736).

48297345404 is an abundant number, since it is smaller than the sum of its proper divisors (62531432068).

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

48297345404 is a wasteful number, since it uses less digits than its factorization.

48297345404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95547 (or 95545 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 50.

The spelling of 48297345404 in words is "forty-eight billion, two hundred ninety-seven million, three hundred forty-five thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 31 44 53 62 77 106 124 154 212 217 308 341 371 434 583 682 742 868 1166 1364 1484 1643 2332 2387 3286 4081 4774 6572 8162 9548 11501 16324 18073 23002 36146 46004 72292 95441 126511 190882 253022 381764 506044 668087 1049851 1336174 2099702 2672348 2958671 4199404 5058373 5917342 7348957 10116746 11834684 14697914 20233492 20710697 29395828 32545381 35408611 41421394 55642103 65090762 70817222 82842788 111284206 130181524 141634444 156809563 222568412 227817667 313619126 389494721 455635334 627238252 778989442 911270668 1097666941 1557978884 1724905193 2195333882 3449810386 4390667764 6899620772 12074336351 24148672702 48297345404