Search a number
-
+
48863250 = 2345319127
BaseRepresentation
bin1011101001100…
…1100000010010
310101221111210000
42322121200102
5100002111000
64503150430
71132221312
oct272314022
9111844700
1048863250
1125644757
1214445416
13a17ab87
1466bd442
154453000
hex2e99812

48863250 has 160 divisors (see below), whose sum is σ = 144967680. Its totient is φ = 12247200.

The previous prime is 48863239. The next prime is 48863251. The reversal of 48863250 is 5236884.

It is not an unprimeable number, because it can be changed into a prime (48863251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 384687 + ... + 384813.

It is an arithmetic number, because the mean of its divisors is an integer number (906048).

Almost surely, 248863250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48863250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72483840).

48863250 is an abundant number, since it is smaller than the sum of its proper divisors (96104430).

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

48863250 is a wasteful number, since it uses less digits than its factorization.

48863250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 48863250 is about 6990.2253182569. The cubic root of 48863250 is about 365.5898388278.

The spelling of 48863250 in words is "forty-eight million, eight hundred sixty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 81 90 95 114 125 127 135 150 162 171 190 225 250 254 270 285 342 375 381 405 450 475 513 570 635 675 750 762 810 855 950 1026 1125 1143 1270 1350 1425 1539 1710 1905 2025 2250 2286 2375 2413 2565 2850 3078 3175 3375 3429 3810 4050 4275 4750 4826 5130 5715 6350 6750 6858 7125 7239 7695 8550 9525 10125 10287 11430 12065 12825 14250 14478 15390 15875 17145 19050 20250 20574 21375 21717 24130 25650 28575 31750 34290 36195 38475 42750 43434 47625 51435 57150 60325 64125 65151 72390 76950 85725 95250 102870 108585 120650 128250 130302 142875 171450 180975 192375 195453 217170 257175 285750 301625 325755 361950 384750 390906 428625 514350 542925 603250 651510 857250 904875 977265 1085850 1285875 1628775 1809750 1954530 2571750 2714625 3257550 4886325 5429250 8143875 9772650 16287750 24431625 48863250