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104482476 = 2232717293
BaseRepresentation
bin1100011101001…
…00011010101100
321021121021000100
412032210122230
5203221414401
614211231100
72406041430
oct616443254
9237537010
10104482476
1153a8325a
122aba8490
1318852b67
14dc3a9c0
15928cb86
hex63a46ac

104482476 has 144 divisors (see below), whose sum is σ = 331007040. Its totient is φ = 27127296.

The previous prime is 104482471. The next prime is 104482481. The reversal of 104482476 is 674284401.

104482476 is a `hidden beast` number, since 104 + 4 + 82 + 476 = 666.

It is an interprime number because it is at equal distance from previous prime (104482471) and next prime (104482481).

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

It is a self number, because there is not a number n which added to its sum of digits gives 104482476.

It is not an unprimeable number, because it can be changed into a prime (104482471) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3602830 + ... + 3602858.

It is an arithmetic number, because the mean of its divisors is an integer number (2298660).

Almost surely, 2104482476 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 104482476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165503520).

104482476 is an abundant number, since it is smaller than the sum of its proper divisors (226524564).

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

104482476 is a wasteful number, since it uses less digits than its factorization.

104482476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 104482476 is about 10221.6669873363. Note that the first 3 decimals coincide. The cubic root of 104482476 is about 470.9930354495.

The spelling of 104482476 in words is "one hundred four million, four hundred eighty-two thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 29 34 36 42 51 58 63 68 84 87 102 116 119 126 153 174 203 204 238 252 261 306 348 357 406 476 493 522 609 612 714 812 841 986 1044 1071 1218 1428 1479 1682 1827 1972 2142 2436 2523 2958 3364 3451 3654 4284 4437 5046 5887 5916 6902 7308 7569 8874 10092 10353 11774 13804 14297 15138 17661 17748 20706 23548 24389 28594 30276 31059 35322 41412 42891 48778 52983 57188 62118 70644 73167 85782 97556 100079 105966 124236 128673 146334 170723 171564 200158 211932 219501 257346 292668 300237 341446 400316 414613 439002 512169 514692 600474 682892 829226 878004 900711 1024338 1200948 1243839 1536507 1658452 1801422 2048676 2487678 2902291 3073014 3602844 3731517 4975356 5804582 6146028 7463034 8706873 11609164 14926068 17413746 26120619 34827492 52241238 104482476