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48331008 = 2832111907
BaseRepresentation
bin1011100001011…
…1100100000000
310100221110200100
42320113210000
544333043013
64443522400
71124543505
oct270274400
9110843610
1048331008
1125310890
1214229400
13a02283b
1465c14ac
15439a473
hex2e17900

48331008 has 108 divisors (see below), whose sum is σ = 152098128. Its totient is φ = 14638080.

The previous prime is 48331007. The next prime is 48331021. The reversal of 48331008 is 80013384.

It is not an unprimeable number, because it can be changed into a prime (48331001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24391 + ... + 26297.

It is an arithmetic number, because the mean of its divisors is an integer number (1408316).

Almost surely, 248331008 is an apocalyptic number.

48331008 is a gapful number since it is divisible by the number (48) 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 48331008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76049064).

48331008 is an abundant number, since it is smaller than the sum of its proper divisors (103767120).

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

48331008 is a wasteful number, since it uses less digits than its factorization.

48331008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48331008 is about 6952.0506327270. The cubic root of 48331008 is about 364.2575965116.

The spelling of 48331008 in words is "forty-eight million, three hundred thirty-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 1907 2112 2304 2816 3168 3814 4224 5721 6336 7628 8448 11442 12672 15256 17163 20977 22884 25344 30512 34326 41954 45768 61024 62931 68652 83908 91536 122048 125862 137304 167816 183072 188793 244096 251724 274608 335632 366144 377586 488192 503448 549216 671264 732288 755172 1006896 1098432 1342528 1464576 1510344 2013792 2196864 2685056 3020688 4027584 4393728 5370112 6041376 8055168 12082752 16110336 24165504 48331008