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80154984 = 2337413107
BaseRepresentation
bin1001100011100…
…01000101101000
312120211021222010
410301301011220
5131004424414
611541555520
71662210000
oct461610550
9176737863
1080154984
1141277698
1222a15ba0
13137b5ab0
14a907000
157084959
hex4c71168

80154984 has 160 divisors (see below), whose sum is σ = 254106720. Its totient is φ = 20942208.

The previous prime is 80154979. The next prime is 80155039. The reversal of 80154984 is 48945108.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 39 ways as a sum of consecutive naturals, for example, 749059 + ... + 749165.

It is an arithmetic number, because the mean of its divisors is an integer number (1588167).

Almost surely, 280154984 is an apocalyptic number.

80154984 is a gapful number since it is divisible by the number (84) 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 80154984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127053360).

80154984 is an abundant number, since it is smaller than the sum of its proper divisors (173951736).

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

80154984 is a wasteful number, since it uses less digits than its factorization.

80154984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 80154984 is about 8952.9315869161. The cubic root of 80154984 is about 431.1650109350.

The spelling of 80154984 in words is "eighty million, one hundred fifty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 107 147 156 168 182 196 214 273 294 312 321 343 364 392 428 546 588 637 642 686 728 749 856 1029 1092 1176 1274 1284 1372 1391 1498 1911 2058 2184 2247 2401 2548 2568 2744 2782 2996 3822 4116 4173 4459 4494 4802 5096 5243 5564 5992 7203 7644 8232 8346 8918 8988 9604 9737 10486 11128 13377 14406 15288 15729 16692 17836 17976 19208 19474 20972 26754 28812 29211 31213 31458 33384 35672 36701 38948 41944 53508 57624 58422 62426 62916 68159 73402 77896 93639 107016 110103 116844 124852 125832 136318 146804 187278 204477 220206 233688 249704 256907 272636 293608 374556 408954 440412 477113 513814 545272 749112 770721 817908 880824 954226 1027628 1431339 1541442 1635816 1908452 2055256 2862678 3082884 3339791 3816904 5725356 6165768 6679582 10019373 11450712 13359164 20038746 26718328 40077492 80154984