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48086208 = 2632312693
BaseRepresentation
bin1011011101101…
…1110011000000
310100111000212200
42313123303000
544302224313
64434353200
71122504012
oct267336300
9110430780
1048086208
1125163975
121412b800
139c682a1
14655a1b2
15434cb73
hex2ddbcc0

48086208 has 84 divisors (see below), whose sum is σ = 142329408. Its totient is φ = 15505920.

The previous prime is 48086197. The next prime is 48086209. The reversal of 48086208 is 80268084.

It is a super-3 number, since 3×480862083 (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (48086209) 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, 16510 + ... + 19202.

Almost surely, 248086208 is an apocalyptic number.

48086208 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 48086208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71164704).

48086208 is an abundant number, since it is smaller than the sum of its proper divisors (94243200).

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

48086208 is a wasteful number, since it uses less digits than its factorization.

48086208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 48086208 is about 6934.4219658166. The cubic root of 48086208 is about 363.6415583500.

The spelling of 48086208 in words is "forty-eight million, eighty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2693 2976 4464 5386 5952 8079 8928 10772 16158 17856 21544 24237 32316 43088 48474 64632 83483 86176 96948 129264 166966 172352 193896 250449 258528 333932 387792 500898 517056 667864 751347 775584 1001796 1335728 1502694 1551168 2003592 2671456 3005388 4007184 5342912 6010776 8014368 12021552 16028736 24043104 48086208