Search a number
-
+
104488488 = 233313127293
BaseRepresentation
bin1100011101001…
…01111000101000
321021121120021000
412032211320220
5203222112423
614211315000
72406065106
oct616457050
9237546230
10104488488
1153a87825
122ababa60
1318855810
14dc3cc76
15928e843
hex63a5e28

104488488 has 128 divisors (see below), whose sum is σ = 316108800. Its totient is φ = 31788288.

The previous prime is 104488441. The next prime is 104488523. The reversal of 104488488 is 884884401.

It is a super-2 number, since 2×1044884882 = 21835688249052288, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356470 + ... + 356762.

It is an arithmetic number, because the mean of its divisors is an integer number (2469600).

Almost surely, 2104488488 is an apocalyptic number.

104488488 is a gapful number since it is divisible by the number (18) 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 104488488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158054400).

104488488 is an abundant number, since it is smaller than the sum of its proper divisors (211620312).

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

104488488 is a wasteful number, since it uses less digits than its factorization.

104488488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 104488488 is about 10221.9610642968. The cubic root of 104488488 is about 471.0020690404.

It can be divided in two parts, 104488 and 488, that added together give a 4-th power (104976 = 184).

The spelling of 104488488 in words is "one hundred four million, four hundred eighty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 127 156 216 234 254 293 312 351 381 468 508 586 702 762 879 936 1016 1143 1172 1404 1524 1651 1758 2286 2344 2637 2808 3048 3302 3429 3516 3809 4572 4953 5274 6604 6858 7032 7618 7911 9144 9906 10548 11427 13208 13716 14859 15236 15822 19812 21096 22854 27432 29718 30472 31644 34281 37211 39624 44577 45708 59436 63288 68562 74422 89154 91416 102843 111633 118872 137124 148844 178308 205686 223266 274248 297688 334899 356616 411372 446532 483743 669798 822744 893064 967486 1004697 1339596 1451229 1934972 2009394 2679192 2902458 3869944 4018788 4353687 5804916 8037576 8707374 11609832 13061061 17414748 26122122 34829496 52244244 104488488