Search a number
-
+
48001950 = 2335231237
BaseRepresentation
bin1011011100011…
…1001110011110
310100022202022000
42313013032132
544242030300
64432503130
71122003243
oct267071636
9110282260
1048001950
1125106637
12140aaaa6
139c38b29
1465375ca
154332c00
hex2dc739e

48001950 has 144 divisors (see below), whose sum is σ = 140370480. Its totient is φ = 12052800.

The previous prime is 48001907. The next prime is 48001957. The reversal of 48001950 is 5910084.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48001957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1297332 + ... + 1297368.

It is an arithmetic number, because the mean of its divisors is an integer number (974795).

Almost surely, 248001950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48001950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70185240).

48001950 is an abundant number, since it is smaller than the sum of its proper divisors (92368530).

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

48001950 is a wasteful number, since it uses less digits than its factorization.

48001950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 48001950 is about 6928.3439579744. The cubic root of 48001950 is about 363.4290398681.

The spelling of 48001950 in words is "forty-eight million, one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 37 45 50 54 62 74 75 90 93 111 135 150 155 185 186 222 225 270 279 310 333 370 450 465 555 558 666 675 775 837 925 930 961 999 1110 1147 1350 1395 1550 1665 1674 1850 1922 1998 2294 2325 2775 2790 2883 3330 3441 4185 4650 4805 4995 5550 5735 5766 6882 6975 8325 8370 8649 9610 9990 10323 11470 13950 14415 16650 17205 17298 20646 20925 24025 24975 25947 28675 28830 30969 34410 35557 41850 43245 48050 49950 51615 51894 57350 61938 71114 72075 86025 86490 103230 106671 129735 144150 154845 172050 177785 213342 216225 258075 259470 309690 320013 355570 432450 516150 533355 640026 648675 774225 888925 960039 1066710 1297350 1548450 1600065 1777850 1920078 2666775 3200130 4800195 5333550 8000325 9600390 16000650 24000975 48001950