Search a number
-
+
48150242560 = 285741131071
BaseRepresentation
bin101100110101111110…
…100110010100000000
311121021200011202110001
4230311332212110000
51242102430230220
634041522445344
73323131210630
oct546576462400
9147250152401
1048150242560
11194696139a2
1293b9503854
13470477aab4
14248abc46c0
1513bc2ad80a
hexb35fa6500

48150242560 has 144 divisors (see below), whose sum is σ = 135027228672. Its totient is φ = 16105881600.

The previous prime is 48150242527. The next prime is 48150242573. The reversal of 48150242560 is 6524205184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301825 + ... + 432895.

It is an arithmetic number, because the mean of its divisors is an integer number (937689088).

Almost surely, 248150242560 is an apocalyptic number.

48150242560 is a gapful number since it is divisible by the number (40) 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 48150242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67513614336).

48150242560 is an abundant number, since it is smaller than the sum of its proper divisors (86876986112).

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

48150242560 is a wasteful number, since it uses less digits than its factorization.

48150242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131140 (or 131126 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 48150242560 in words is "forty-eight billion, one hundred fifty million, two hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 128 140 160 164 205 224 256 280 287 320 328 410 448 560 574 640 656 820 896 1120 1148 1280 1312 1435 1640 1792 2240 2296 2624 2870 3280 4480 4592 5248 5740 6560 8960 9184 10496 11480 13120 18368 22960 26240 36736 45920 52480 73472 91840 131071 183680 262142 367360 524284 655355 917497 1048568 1310710 1834994 2097136 2621420 3669988 4194272 4587485 5242840 5373911 7339976 8388544 9174970 10485680 10747822 14679952 16777088 18349940 20971360 21495644 26869555 29359904 33554176 36699880 37617377 41942720 42991288 53739110 58719808 73399760 75234754 83885440 85982576 107478220 117439616 146799520 150469508 167770880 171965152 188086885 214956440 234879232 293599040 300939016 343930304 376173770 429912880 587198080 601878032 687860608 752347540 859825760 1174396160 1203756064 1375721216 1504695080 1719651520 2407512128 3009390160 3439303040 4815024256 6018780320 6878606080 9630048512 12037560640 24075121280 48150242560