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13479048 = 2334113161
BaseRepresentation
bin110011011010…
…110010001000
3221100210210000
4303122302020
511422312143
61200523000
7222366342
oct63326210
927323700
1013479048
117677010
124620460
132a3c28b
141b0c292
1512b3bd3
hexcdac88

13479048 has 160 divisors (see below), whose sum is σ = 43211520. Its totient is φ = 3888000.

The previous prime is 13479043. The next prime is 13479077. The reversal of 13479048 is 84097431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13479043) 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 39 ways as a sum of consecutive naturals, for example, 220938 + ... + 220998.

It is an arithmetic number, because the mean of its divisors is an integer number (270072).

Almost surely, 213479048 is an apocalyptic number.

13479048 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 13479048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605760).

13479048 is an abundant number, since it is smaller than the sum of its proper divisors (29732472).

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

13479048 is a wasteful number, since it uses less digits than its factorization.

13479048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13479048 is about 3671.3823009869. The cubic root of 13479048 is about 237.9869116923.

The spelling of 13479048 in words is "thirteen million, four hundred seventy-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 61 62 66 72 81 88 93 99 108 122 124 132 162 183 186 198 216 244 248 264 279 297 324 341 366 372 396 488 549 558 594 648 671 682 732 744 792 837 891 1023 1098 1116 1188 1342 1364 1464 1647 1674 1782 1891 2013 2046 2196 2232 2376 2511 2684 2728 3069 3294 3348 3564 3782 4026 4092 4392 4941 5022 5368 5673 6039 6138 6588 6696 7128 7564 8052 8184 9207 9882 10044 11346 12078 12276 13176 15128 16104 17019 18117 18414 19764 20088 20801 22692 24156 24552 27621 34038 36234 36828 39528 41602 45384 48312 51057 54351 55242 62403 68076 72468 73656 83204 102114 108702 110484 124806 136152 144936 153171 166408 187209 204228 217404 220968 249612 306342 374418 408456 434808 499224 561627 612684 748836 1123254 1225368 1497672 1684881 2246508 3369762 4493016 6739524 13479048