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48180816 = 24325359107
BaseRepresentation
bin1011011111001…
…0111001010000
310100122211122200
42313302321100
544313241231
64440403200
71123346565
oct267627120
9110584580
1048180816
1125218a62
1214176500
139c9c378
14658286c
15436abe6
hex2df2e50

48180816 has 120 divisors (see below), whose sum is σ = 141017760. Its totient is φ = 15345408.

The previous prime is 48180809. The next prime is 48180817. The reversal of 48180816 is 61808184.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48180817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450235 + ... + 450341.

It is an arithmetic number, because the mean of its divisors is an integer number (1175148).

Almost surely, 248180816 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 48180816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70508880).

48180816 is an abundant number, since it is smaller than the sum of its proper divisors (92836944).

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

48180816 is a wasteful number, since it uses less digits than its factorization.

48180816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 48180816 is about 6941.2402350012. The cubic root of 48180816 is about 363.8798863038.

The spelling of 48180816 in words is "forty-eight million, one hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 59 72 106 107 118 144 159 177 212 214 236 318 321 354 424 428 472 477 531 636 642 708 848 856 944 954 963 1062 1272 1284 1416 1712 1908 1926 2124 2544 2568 2832 3127 3816 3852 4248 5136 5671 6254 6313 7632 7704 8496 9381 11342 12508 12626 15408 17013 18762 18939 22684 25016 25252 28143 34026 37524 37878 45368 50032 50504 51039 56286 56817 68052 75048 75756 90736 101008 102078 112572 113634 136104 150096 151512 204156 225144 227268 272208 303024 334589 408312 450288 454536 669178 816624 909072 1003767 1338356 2007534 2676712 3011301 4015068 5353424 6022602 8030136 12045204 16060272 24090408 48180816