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48359808 = 273371999
BaseRepresentation
bin1011100001111…
…0100110000000
310100222221012000
42320132212000
544340003213
64444304000
71125023460
oct270364600
9110887160
1048359808
1125330492
1214242000
13a032993
1465cbba0
1543a3c73
hex2e1e980

48359808 has 128 divisors (see below), whose sum is σ = 163200000. Its totient is φ = 13810176.

The previous prime is 48359803. The next prime is 48359833. The reversal of 48359808 is 80895384.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×483598084 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48359803) 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 15 ways as a sum of consecutive naturals, for example, 23193 + ... + 25191.

It is an arithmetic number, because the mean of its divisors is an integer number (1275000).

Almost surely, 248359808 is an apocalyptic number.

48359808 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 48359808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81600000).

48359808 is an abundant number, since it is smaller than the sum of its proper divisors (114840192).

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

48359808 is a wasteful number, since it uses less digits than its factorization.

48359808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 48359808 is about 6954.1216555364. The cubic root of 48359808 is about 364.3299347209.

The spelling of 48359808 in words is "forty-eight million, three hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 1999 2016 2688 3024 3456 3998 4032 5997 6048 7996 8064 11994 12096 13993 15992 17991 23988 24192 27986 31984 35982 41979 47976 53973 55972 63968 71964 83958 95952 107946 111944 125937 127936 143928 167916 191904 215892 223888 251874 255872 287856 335832 377811 383808 431784 447776 503748 575712 671664 755622 767616 863568 895552 1007496 1151424 1343328 1511244 1727136 1791104 2014992 2302848 2686656 3022488 3454272 4029984 5373312 6044976 6908544 8059968 12089952 16119936 24179904 48359808