Search a number
-
+
48816852 = 22371973419
BaseRepresentation
bin1011101000111…
…0001011010100
310101212011010120
42322032023110
544444114402
64502151540
71131636120
oct272161324
9111764116
1048816852
1125612907
12144225b0
13a162a16
1466aa580
1544443bc
hex2e8e2d4

48816852 has 96 divisors (see below), whose sum is σ = 139238400. Its totient is φ = 13001472.

The previous prime is 48816851. The next prime is 48816857. The reversal of 48816852 is 25861884.

48816852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48816851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116299 + ... + 116717.

It is an arithmetic number, because the mean of its divisors is an integer number (1450400).

Almost surely, 248816852 is an apocalyptic number.

48816852 is a gapful number since it is divisible by the number (42) 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 48816852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69619200).

48816852 is an abundant number, since it is smaller than the sum of its proper divisors (90421548).

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

48816852 is a wasteful number, since it uses less digits than its factorization.

48816852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 523 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 48816852 is about 6986.9057529066. The cubic root of 48816852 is about 365.4740871527.

The spelling of 48816852 in words is "forty-eight million, eight hundred sixteen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 73 76 84 114 133 146 219 228 266 292 399 419 438 511 532 798 838 876 1022 1257 1387 1533 1596 1676 2044 2514 2774 2933 3066 4161 5028 5548 5866 6132 7961 8322 8799 9709 11732 15922 16644 17598 19418 23883 29127 30587 31844 35196 38836 47766 55727 58254 61174 91761 95532 111454 116508 122348 167181 183522 214109 222908 334362 367044 428218 581153 642327 668724 856436 1162306 1284654 1743459 2324612 2569308 3486918 4068071 6973836 8136142 12204213 16272284 24408426 48816852