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80128752 = 243111779113
BaseRepresentation
bin1001100011010…
…10101011110000
312120202221222120
410301222223300
5131003110002
611541234240
71662040344
oct461525360
9176687876
1080128752
1141259a10
1222a02980
13137a6b82
14a8db624
15707bcbc
hex4c6aaf0

80128752 has 160 divisors (see below), whose sum is σ = 244270080. Its totient is φ = 22364160.

The previous prime is 80128751. The next prime is 80128753. The reversal of 80128752 is 25782108.

It is an interprime number because it is at equal distance from previous prime (80128751) and next prime (80128753).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80128751) 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 31 ways as a sum of consecutive naturals, for example, 709048 + ... + 709160.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 280128752 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 80128752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135040).

80128752 is an abundant number, since it is smaller than the sum of its proper divisors (164141328).

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

80128752 is a wasteful number, since it uses less digits than its factorization.

80128752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 80128752 is about 8951.4664720369. The cubic root of 80128752 is about 431.1179705887.

The spelling of 80128752 in words is "eighty million, one hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 79 88 102 113 132 136 158 176 187 204 226 237 264 272 316 339 374 408 452 474 528 561 632 678 748 816 869 904 948 1122 1243 1264 1343 1356 1496 1738 1808 1896 1921 2244 2486 2607 2686 2712 2992 3476 3729 3792 3842 4029 4488 4972 5214 5372 5424 5763 6952 7458 7684 8058 8927 8976 9944 10428 10744 11526 13904 14773 14916 15368 16116 17854 19888 20856 21131 21488 23052 26781 29546 29832 30736 32232 35708 41712 42262 44319 46104 53562 59092 59664 63393 64464 71416 84524 88638 92208 98197 107124 118184 126786 142832 151759 169048 177276 196394 214248 236368 253572 294591 303518 338096 354552 392788 428496 455277 507144 589182 607036 709104 785576 910554 1014288 1178364 1214072 1571152 1669349 1821108 2356728 2428144 3338698 3642216 4713456 5008047 6677396 7284432 10016094 13354792 20032188 26709584 40064376 80128752