Search a number
-
+
48383380472 = 23722513491409
BaseRepresentation
bin101101000011110111…
…111100101111111000
311121212220212101112112
4231003313330233320
51243042121133342
634121011431452
73331661643200
oct550367745770
9147786771475
1048383380472
111957917a959
1294635b5588
134740b6841b
1424adb51400
1513d29b1682
hexb43dfcbf8

48383380472 has 96 divisors (see below), whose sum is σ = 106329510000. Its totient is φ = 20579328000.

The previous prime is 48383380429. The next prime is 48383380477. The reversal of 48383380472 is 27408338384.

It is a self number, because there is not a number n which added to its sum of digits gives 48383380472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48383380477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34338104 + ... + 34339512.

Almost surely, 248383380472 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 48383380472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53164755000).

48383380472 is an abundant number, since it is smaller than the sum of its proper divisors (57946129528).

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

48383380472 is a wasteful number, since it uses less digits than its factorization.

48383380472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 50.

The spelling of 48383380472 in words is "forty-eight billion, three hundred eighty-three million, three hundred eighty thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 251 349 392 502 698 1004 1396 1409 1757 2008 2443 2792 2818 3514 4886 5636 7028 9772 9863 11272 12299 14056 17101 19544 19726 24598 34202 39452 49196 68404 69041 78904 87599 98392 136808 138082 175198 276164 350396 353659 491741 552328 613193 700792 707318 983482 1226386 1414636 1966964 2452772 2475613 2829272 3442187 3933928 4292351 4905544 4951226 6884374 8584702 9902452 13768748 17169404 17329291 19804904 24095309 27537496 34338808 34658582 48190618 69317164 96381236 123426991 138634328 192762472 246853982 493707964 863988937 987415928 1727977874 3455955748 6047922559 6911911496 12095845118 24191690236 48383380472