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80872584 = 233132127157
BaseRepresentation
bin1001101001000…
…00010010001000
312122011202022220
410310200102020
5131200410314
612005214040
72001256062
oct464402210
9178152286
1080872584
1141717851
1223101320
13139a7600
14aa52732
1571773a9
hex4d20488

80872584 has 96 divisors (see below), whose sum is σ = 222059520. Its totient is φ = 24530688.

The previous prime is 80872579. The next prime is 80872601. The reversal of 80872584 is 48527808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515034 + ... + 515190.

It is an arithmetic number, because the mean of its divisors is an integer number (2313120).

Almost surely, 280872584 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 80872584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111029760).

80872584 is an abundant number, since it is smaller than the sum of its proper divisors (141186936).

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

80872584 is a wasteful number, since it uses less digits than its factorization.

80872584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 80872584 is about 8992.9185473905. The cubic root of 80872584 is about 432.4478808301.

The spelling of 80872584 in words is "eighty million, eight hundred seventy-two thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 127 156 157 169 254 312 314 338 381 471 507 508 628 676 762 942 1014 1016 1256 1352 1524 1651 1884 2028 2041 3048 3302 3768 4056 4082 4953 6123 6604 8164 9906 12246 13208 16328 19812 19939 21463 24492 26533 39624 39878 42926 48984 53066 59817 64389 79599 79756 85852 106132 119634 128778 159198 159512 171704 212264 239268 257556 259207 318396 478536 515112 518414 636792 777621 1036828 1555242 2073656 3110484 3369691 6220968 6739382 10109073 13478764 20218146 26957528 40436292 80872584