Search a number
-
+
82151472 = 24313173761
BaseRepresentation
bin1001110010110…
…00100000110000
312201120201122010
410321120200300
5132012321342
612052442520
72015163444
oct471304060
9181521563
1082151472
1142410687
1223619440
1314034750
14aca6824
15732b29c
hex4e58830

82151472 has 80 divisors (see below), whose sum is σ = 230172768. Its totient is φ = 25098240.

The previous prime is 82151467. The next prime is 82151521. The reversal of 82151472 is 27415128.

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, 107572 + ... + 108332.

Almost surely, 282151472 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 82151472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115086384).

82151472 is an abundant number, since it is smaller than the sum of its proper divisors (148021296).

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

82151472 is a wasteful number, since it uses less digits than its factorization.

82151472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 952 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 82151472 is about 9063.7449213887. The cubic root of 82151472 is about 434.7154910633.

The spelling of 82151472 in words is "eighty-two million, one hundred fifty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 173 208 312 346 519 624 692 761 1038 1384 1522 2076 2249 2283 2768 3044 4152 4498 4566 6088 6747 8304 8996 9132 9893 12176 13494 17992 18264 19786 26988 29679 35984 36528 39572 53976 59358 79144 107952 118716 131653 158288 237432 263306 394959 474864 526612 789918 1053224 1579836 1711489 2106448 3159672 3422978 5134467 6319344 6845956 10268934 13691912 20537868 27383824 41075736 82151472