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81578484 = 223213315623
BaseRepresentation
bin1001101110011…
…00100111110100
312200111121122100
410313030213310
5131341002414
612032302100
72010256101
oct467144764
9180447570
1081578484
114205a139
12233a1930
1313b939c0
14ab97aa8
157266609
hex4dcc9f4

81578484 has 72 divisors (see below), whose sum is σ = 229279232. Its totient is φ = 24287040.

The previous prime is 81578477. The next prime is 81578489. The reversal of 81578484 is 48487518.

It is a super-3 number, since 3×815784843 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81578489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11697 + ... + 17319.

Almost surely, 281578484 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 81578484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114639616).

81578484 is an abundant number, since it is smaller than the sum of its proper divisors (147700748).

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

81578484 is a wasteful number, since it uses less digits than its factorization.

81578484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677 (or 5672 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 81578484 is about 9032.0808233762. The cubic root of 81578484 is about 433.7024513041.

It can be divided in two parts, 8157 and 8484, that added together give a square (16641 = 1292).

The spelling of 81578484 in words is "eighty-one million, five hundred seventy-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 5623 7254 11246 14508 16869 22492 33738 50607 67476 73099 101214 146198 174313 202428 219297 292396 348626 438594 522939 657891 697252 877188 1045878 1315782 1568817 2091756 2266069 2631564 3137634 4532138 6275268 6798207 9064276 13596414 20394621 27192828 40789242 81578484