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80952912 = 24331773151
BaseRepresentation
bin1001101001100…
…11111001010000
312122022211112000
410310303321100
5131210443122
612011034000
72002042215
oct464637120
9178284460
1080952912
1141772137
122313b900
1313a05041
14aa73b0c
1571910ac
hex4d33e50

80952912 has 160 divisors (see below), whose sum is σ = 251055360. Its totient is φ = 24883200.

The previous prime is 80952899. The next prime is 80952913. The reversal of 80952912 is 21925908.

It is a super-2 number, since 2×809529122 = 13106747922559488, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80952913) 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, 536037 + ... + 536187.

It is an arithmetic number, because the mean of its divisors is an integer number (1569096).

Almost surely, 280952912 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 80952912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125527680).

80952912 is an abundant number, since it is smaller than the sum of its proper divisors (170102448).

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

80952912 is a wasteful number, since it uses less digits than its factorization.

80952912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 80952912 is about 8997.3836196975. The cubic root of 80952912 is about 432.5910120651.

The spelling of 80952912 in words is "eighty million, nine hundred fifty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 73 102 108 136 144 146 151 153 204 216 219 272 292 302 306 408 432 438 453 459 584 604 612 657 816 876 906 918 1168 1208 1224 1241 1314 1359 1752 1812 1836 1971 2416 2448 2482 2567 2628 2718 3504 3624 3672 3723 3942 4077 4964 5134 5256 5436 7248 7344 7446 7701 7884 8154 9928 10268 10512 10872 11023 11169 14892 15402 15768 16308 19856 20536 21744 22046 22338 23103 29784 30804 31536 32616 33069 33507 41072 44092 44676 46206 59568 61608 65232 66138 67014 69309 88184 89352 92412 99207 123216 132276 134028 138618 176368 178704 184824 187391 198414 264552 268056 277236 297621 369648 374782 396828 529104 536112 554472 562173 595242 749564 793656 1108944 1124346 1190484 1499128 1587312 1686519 2248692 2380968 2998256 3373038 4497384 4761936 5059557 6746076 8994768 10119114 13492152 20238228 26984304 40476456 80952912