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48061104 = 24371311003
BaseRepresentation
bin1011011101010…
…1101010110000
310100102202102220
42313111222300
544300423404
64434041040
71122340560
oct267255260
9110382386
1048061104
1125147023
1214119180
139c59a30
146550da0
1543454d9
hex2dd5ab0

48061104 has 80 divisors (see below), whose sum is σ = 152823552. Its totient is φ = 12674304.

The previous prime is 48061081. The next prime is 48061109. The reversal of 48061104 is 40116084.

It is a super-3 number, since 3×480611043 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (48061109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1134 + ... + 9869.

Almost surely, 248061104 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 48061104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76411776).

48061104 is an abundant number, since it is smaller than the sum of its proper divisors (104762448).

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

48061104 is a wasteful number, since it uses less digits than its factorization.

48061104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11034 (or 11028 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 48061104 is about 6932.6116291049. The cubic root of 48061104 is about 363.5782661426.

Adding to 48061104 its reverse (40116084), we get a palindrome (88177188).

The spelling of 48061104 in words is "forty-eight million, sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 11003 22006 33009 44012 66018 77021 88024 132036 143039 154042 176048 231063 264072 286078 308084 429117 462126 528144 572156 616168 858234 924252 1001273 1144312 1232336 1716468 1848504 2002546 2288624 3003819 3432936 3697008 4005092 6007638 6865872 8010184 12015276 16020368 24030552 48061104