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48070008 = 23327127751
BaseRepresentation
bin1011011101011…
…1110101111000
310100110012122200
42313113311320
544301220013
64434150200
71122405540
oct267276570
9110405580
1048070008
1125152788
1214122360
139c60abc
146554320
154347e73
hex2dd7d78

48070008 has 96 divisors (see below), whose sum is σ = 150159360. Its totient is φ = 13608000.

The previous prime is 48070007. The next prime is 48070039. The reversal of 48070008 is 80007084.

It is a happy number.

It is a super-3 number, since 3×480700083 (a number of 24 digits) contains 333 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48070007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63633 + ... + 64383.

It is an arithmetic number, because the mean of its divisors is an integer number (1564160).

Almost surely, 248070008 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 48070008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75079680).

48070008 is an abundant number, since it is smaller than the sum of its proper divisors (102089352).

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

48070008 is a wasteful number, since it uses less digits than its factorization.

48070008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 48070008 is about 6933.2537815949. The cubic root of 48070008 is about 363.6007174301.

The spelling of 48070008 in words is "forty-eight million, seventy thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 127 168 252 254 381 504 508 751 762 889 1016 1143 1502 1524 1778 2253 2286 2667 3004 3048 3556 4506 4572 5257 5334 6008 6759 7112 8001 9012 9144 10514 10668 13518 15771 16002 18024 21028 21336 27036 31542 32004 42056 47313 54072 63084 64008 94626 95377 126168 189252 190754 286131 378504 381508 572262 667639 763016 858393 1144524 1335278 1716786 2002917 2289048 2670556 3433572 4005834 5341112 6008751 6867144 8011668 12017502 16023336 24035004 48070008