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80047128 = 23376173107
BaseRepresentation
bin1001100010101…
…10110000011000
312120121211000110
410301112300120
5130443002003
611535404320
71661250360
oct461266030
9176554013
1080047128
1141203657
12229836a0
1313778985
14a8b99a0
157062a03
hex4c56c18

80047128 has 128 divisors (see below), whose sum is σ = 237841920. Its totient is φ = 21980160.

The previous prime is 80047103. The next prime is 80047139. The reversal of 80047128 is 82174008.

It is a junction number, because it is equal to n+sod(n) for n = 80047095 and 80047104.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 748051 + ... + 748157.

It is an arithmetic number, because the mean of its divisors is an integer number (1858140).

Almost surely, 280047128 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 80047128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118920960).

80047128 is an abundant number, since it is smaller than the sum of its proper divisors (157794792).

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

80047128 is a wasteful number, since it uses less digits than its factorization.

80047128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 80047128 is about 8946.9060574033. The cubic root of 80047128 is about 430.9715332286.

The spelling of 80047128 in words is "eighty million, forty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 73 84 107 122 146 168 183 214 219 244 292 321 366 427 428 438 488 511 584 642 732 749 854 856 876 1022 1281 1284 1464 1498 1533 1708 1752 2044 2247 2562 2568 2996 3066 3416 4088 4453 4494 5124 5992 6132 6527 7811 8906 8988 10248 12264 13054 13359 15622 17812 17976 19581 23433 26108 26718 31171 31244 35624 39162 45689 46866 52216 53436 54677 62342 62488 78324 91378 93513 93732 106872 109354 124684 137067 156648 164031 182756 187026 187464 218708 249368 274134 328062 365512 374052 437416 476471 548268 656124 748104 952942 1096536 1312248 1429413 1905884 2858826 3335297 3811768 5717652 6670594 10005891 11435304 13341188 20011782 26682376 40023564 80047128