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948688104 = 233713617121
BaseRepresentation
bin111000100010111…
…101010011101000
32110010010100102110
4320202331103220
53420331004404
6234045402320
732336500350
oct7042752350
92403110373
10948688104
11447567461
122258693a0
13121712910
148ddd1b60
1558447b89
hex388bd4e8

948688104 has 128 divisors (see below), whose sum is σ = 2967310080. Its totient is φ = 246067200.

The previous prime is 948688093. The next prime is 948688121. The reversal of 948688104 is 401886849.

948688104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9486881042 = 1800018237342229632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129664 + ... + 136784.

It is an arithmetic number, because the mean of its divisors is an integer number (23182110).

Almost surely, 2948688104 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 948688104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483655040).

948688104 is an abundant number, since it is smaller than the sum of its proper divisors (2018621976).

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

948688104 is a wasteful number, since it uses less digits than its factorization.

948688104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7211 (or 7207 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 948688104 is about 30800.7808991915. The cubic root of 948688104 is about 982.5948530946.

The spelling of 948688104 in words is "nine hundred forty-eight million, six hundred eighty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 61 78 84 91 104 122 156 168 182 183 244 273 312 364 366 427 488 546 728 732 793 854 1092 1281 1464 1586 1708 2184 2379 2562 3172 3416 4758 5124 5551 6344 7121 9516 10248 11102 14242 16653 19032 21363 22204 28484 33306 42726 44408 49847 56968 66612 85452 92573 99694 133224 149541 170904 185146 199388 277719 299082 370292 398776 434381 555438 598164 648011 740584 868762 1110876 1196328 1296022 1303143 1737524 1944033 2221752 2592044 2606286 3040667 3475048 3888066 5184088 5212572 5646953 6081334 7776132 9122001 10425144 11293906 12162668 15552264 16940859 18244002 22587812 24325336 33881718 36488004 39528671 45175624 67763436 72976008 79057342 118586013 135526872 158114684 237172026 316229368 474344052 948688104