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48152016 = 24331110133
BaseRepresentation
bin1011011110101…
…1110111010000
310100121101011000
42313223313100
544311331031
64440022000
71123166613
oct267536720
9110541130
1048152016
11251a9360
1214161900
139c8c223
14657617a
1543623e6
hex2debdd0

48152016 has 80 divisors (see below), whose sum is σ = 150793920. Its totient is φ = 14590080.

The previous prime is 48152009. The next prime is 48152051. The reversal of 48152016 is 61025184.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315 + ... + 9818.

It is an arithmetic number, because the mean of its divisors is an integer number (1884924).

Almost surely, 248152016 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 48152016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75396960).

48152016 is an abundant number, since it is smaller than the sum of its proper divisors (102641904).

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

48152016 is a wasteful number, since it uses less digits than its factorization.

48152016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10161 (or 10149 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 48152016 is about 6939.1653676793. The cubic root of 48152016 is about 363.8073689938.

The spelling of 48152016 in words is "forty-eight million, one hundred fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 10133 20266 30399 40532 60798 81064 91197 111463 121596 162128 182394 222926 243192 273591 334389 364788 445852 486384 547182 668778 729576 891704 1003167 1094364 1337556 1459152 1783408 2006334 2188728 2675112 3009501 4012668 4377456 5350224 6019002 8025336 12038004 16050672 24076008 48152016