Search a number
-
+
48723768 = 2334174423
BaseRepresentation
bin1011100111011…
…1011100111000
310101200102110000
42321313130320
544433130033
64500153000
71131100542
oct271673470
9111612400
1048723768
1125559985
1214398760
13a12c542
146684692
154426a13
hex2e77738

48723768 has 80 divisors (see below), whose sum is σ = 144532080. Its totient is φ = 15282432.

The previous prime is 48723767. The next prime is 48723781. The reversal of 48723768 is 86732784.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48723767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8805 + ... + 13227.

It is an arithmetic number, because the mean of its divisors is an integer number (1806651).

Almost surely, 248723768 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 48723768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72266040).

48723768 is an abundant number, since it is smaller than the sum of its proper divisors (95808312).

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

48723768 is a wasteful number, since it uses less digits than its factorization.

48723768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458 (or 4445 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 48723768 is about 6980.2412565756. The cubic root of 48723768 is about 365.2416439529.

The spelling of 48723768 in words is "forty-eight million, seven hundred twenty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 4423 5508 8846 11016 13269 17692 26538 35384 39807 53076 75191 79614 106152 119421 150382 159228 225573 238842 300764 318456 358263 451146 477684 601528 676719 716526 902292 955368 1353438 1433052 1804584 2030157 2706876 2866104 4060314 5413752 6090471 8120628 12180942 16241256 24361884 48723768