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82614480 = 24351326479
BaseRepresentation
bin1001110110010…
…01100011010000
312202110020202120
410323021203100
5132122130410
612110414240
72022132354
oct473114320
9182406676
1082614480
11426a7533
1223801380
1314167410
14ad87464
1573bd570
hex4ec98d0

82614480 has 80 divisors (see below), whose sum is σ = 275815680. Its totient is φ = 20335104.

The previous prime is 82614461. The next prime is 82614491. The reversal of 82614480 is 8441628.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10120 + ... + 16359.

It is an arithmetic number, because the mean of its divisors is an integer number (3447696).

Almost surely, 282614480 is an apocalyptic number.

82614480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82614480 is an abundant number, since it is smaller than the sum of its proper divisors (193201200).

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

82614480 is a wasteful number, since it uses less digits than its factorization.

82614480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26508 (or 26502 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 82614480 is about 9089.2507942074. The cubic root of 82614480 is about 435.5306511205.

The spelling of 82614480 in words is "eighty-two million, six hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 26479 52958 79437 105916 132395 158874 211832 264790 317748 344227 397185 423664 529580 635496 688454 794370 1032681 1059160 1270992 1376908 1588740 1721135 2065362 2118320 2753816 3177480 3442270 4130724 5163405 5507632 6354960 6884540 8261448 10326810 13769080 16522896 20653620 27538160 41307240 82614480