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48359616 = 2632347233
BaseRepresentation
bin1011100001111…
…0100011000000
310100222220220220
42320132203000
544340001431
64444303040
71125023064
oct270364300
9110886826
1048359616
1125330328
1214241a80
13a032876
1465cbaa4
1543a3b96
hex2e1e8c0

48359616 has 112 divisors (see below), whose sum is σ = 136940544. Its totient is φ = 15026176.

The previous prime is 48359609. The next prime is 48359627. The reversal of 48359616 is 61695384.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 207436 + ... + 207668.

Almost surely, 248359616 is an apocalyptic number.

48359616 is a gapful number since it is divisible by the number (46) 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 48359616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68470272).

48359616 is an abundant number, since it is smaller than the sum of its proper divisors (88580928).

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

48359616 is a wasteful number, since it uses less digits than its factorization.

48359616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 308 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 48359616 is about 6954.1078507599. The cubic root of 48359616 is about 364.3294525612.

The spelling of 48359616 in words is "forty-eight million, three hundred fifty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 64 69 92 94 96 138 141 184 188 192 233 276 282 368 376 466 552 564 699 736 752 932 1081 1104 1128 1398 1472 1504 1864 2162 2208 2256 2796 3008 3243 3728 4324 4416 4512 5359 5592 6486 7456 8648 9024 10718 10951 11184 12972 14912 16077 17296 21436 21902 22368 25944 32154 32853 34592 42872 43804 44736 51888 64308 65706 69184 85744 87608 103776 128616 131412 171488 175216 207552 251873 257232 262824 342976 350432 503746 514464 525648 700864 755619 1007492 1028928 1051296 1511238 2014984 2102592 3022476 4029968 6044952 8059936 12089904 16119872 24179808 48359616