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48030336 = 2732173241
BaseRepresentation
bin1011011100111…
…0001010000000
310100101012020100
42313032022000
544243432321
64433242400
71122152064
oct267161200
9110335210
1048030336
11251259a2
1214103400
139c48a23
146543aa4
15433b326
hex2dce280

48030336 has 96 divisors (see below), whose sum is σ = 139588020. Its totient is φ = 15851520.

The previous prime is 48030331. The next prime is 48030337. The reversal of 48030336 is 63303084.

It can be written as a sum of positive squares in 2 ways, for example, as 41679936 + 6350400 = 6456^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (48030331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199176 + ... + 199416.

Almost surely, 248030336 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 48030336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69794010).

48030336 is an abundant number, since it is smaller than the sum of its proper divisors (91557684).

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

48030336 is a wasteful number, since it uses less digits than its factorization.

48030336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 48030336 is about 6930.3921966942. The cubic root of 48030336 is about 363.5006637908.

The spelling of 48030336 in words is "forty-eight million, thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 241 288 346 384 482 519 576 692 723 964 1038 1152 1384 1446 1557 1928 2076 2169 2768 2892 3114 3856 4152 4338 5536 5784 6228 7712 8304 8676 11072 11568 12456 15424 16608 17352 22144 23136 24912 30848 33216 34704 41693 46272 49824 66432 69408 83386 92544 99648 125079 138816 166772 199296 250158 277632 333544 375237 500316 667088 750474 1000632 1334176 1500948 2001264 2668352 3001896 4002528 5336704 6003792 8005056 12007584 16010112 24015168 48030336