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80971776 = 2113223191
BaseRepresentation
bin1001101001110…
…00100000000000
312122100210101200
410310320200000
5131212044101
612011301200
72002151214
oct464704000
9178323350
1080971776
1141785326
122314a800
1313a107c2
14aa7a944
157196986
hex4d38800

80971776 has 144 divisors (see below), whose sum is σ = 245306880. Its totient is φ = 25681920.

The previous prime is 80971769. The next prime is 80971789. The reversal of 80971776 is 67717908.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×809717764 (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423841 + ... + 424031.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 280971776 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 80971776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

80971776 is an abundant number, since it is smaller than the sum of its proper divisors (164335104).

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

80971776 is a wasteful number, since it uses less digits than its factorization.

80971776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 80971776 is about 8998.4318633860. The cubic root of 80971776 is about 432.6246108691.

The spelling of 80971776 in words is "eighty million, nine hundred seventy-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 191 192 207 256 276 288 368 382 384 414 512 552 573 576 736 764 768 828 1024 1104 1146 1152 1472 1528 1536 1656 1719 2048 2208 2292 2304 2944 3056 3072 3312 3438 4393 4416 4584 4608 5888 6112 6144 6624 6876 8786 8832 9168 9216 11776 12224 13179 13248 13752 17572 17664 18336 18432 23552 24448 26358 26496 27504 35144 35328 36672 39537 47104 48896 52716 52992 55008 70288 70656 73344 79074 97792 105432 105984 110016 140576 141312 146688 158148 195584 210864 211968 220032 281152 293376 316296 391168 421728 423936 440064 562304 586752 632592 843456 880128 1124608 1173504 1265184 1686912 1760256 2249216 2530368 3373824 3520512 4498432 5060736 6747648 8996864 10121472 13495296 20242944 26990592 40485888 80971776