Search a number
-
+
48028968 = 23321323297
BaseRepresentation
bin1011011100110…
…1110100101000
310100101010100200
42313031310220
544243411333
64433232200
71122145101
oct267156450
9110333320
1048028968
1125124969
1214102660
139c48210
1465433a8
15433ac13
hex2dcdd28

48028968 has 144 divisors (see below), whose sum is σ = 147949620. Its totient is φ = 13989888.

The previous prime is 48028957. The next prime is 48029011. The reversal of 48028968 is 86982084.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45724644 + 2304324 = 6762^2 + 1518^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 495096 + ... + 495192.

Almost surely, 248028968 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 48028968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73974810).

48028968 is an abundant number, since it is smaller than the sum of its proper divisors (99920652).

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

48028968 is a wasteful number, since it uses less digits than its factorization.

48028968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 48028968 is about 6930.2935002783. The cubic root of 48028968 is about 363.4972126828.

The spelling of 48028968 in words is "forty-eight million, twenty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 97 104 117 138 156 184 194 207 234 276 291 299 312 388 414 468 529 552 582 598 776 828 873 897 936 1058 1164 1196 1261 1587 1656 1746 1794 2116 2231 2328 2392 2522 2691 3174 3492 3588 3783 4232 4462 4761 5044 5382 6348 6693 6877 6984 7176 7566 8924 9522 10088 10764 11349 12696 13386 13754 15132 17848 19044 20079 20631 21528 22698 26772 27508 29003 30264 38088 40158 41262 45396 51313 53544 55016 58006 61893 80316 82524 87009 90792 102626 116012 123786 153939 160632 165048 174018 205252 232024 247572 261027 307878 348036 410504 461817 495144 522054 615756 667069 696072 923634 1044108 1231512 1334138 1847268 2001207 2088216 2668276 3694536 4002414 5336552 6003621 8004828 12007242 16009656 24014484 48028968