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83471472 = 243573067
BaseRepresentation
bin1001111100110…
…10110001110000
312211001210100000
410332122301300
5132332041342
612141030000
72032332030
oct476326160
9184053300
1083471472
1143132397
1223b55300
13143a7506
14b12b8c0
1574dc44c
hex4f9ac70

83471472 has 120 divisors (see below), whose sum is σ = 276954496. Its totient is φ = 23841216.

The previous prime is 83471447. The next prime is 83471477. The reversal of 83471472 is 27417438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83471477) 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, 25683 + ... + 28749.

Almost surely, 283471472 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 83471472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138477248).

83471472 is an abundant number, since it is smaller than the sum of its proper divisors (193483024).

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

83471472 is a wasteful number, since it uses less digits than its factorization.

83471472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3079 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 83471472 is about 9136.2723251882. The cubic root of 83471472 is about 437.0314496127.

The spelling of 83471472 in words is "eighty-three million, four hundred seventy-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3067 3402 3888 4536 6134 6804 9072 9201 12268 13608 18402 21469 24536 27216 27603 36804 42938 49072 55206 64407 73608 82809 85876 110412 128814 147216 165618 171752 193221 220824 248427 257628 331236 343504 386442 441648 496854 515256 579663 662472 745281 772884 993708 1030512 1159326 1324944 1490562 1545768 1738989 1987416 2318652 2981124 3091536 3477978 3974832 4637304 5216967 5962248 6955956 9274608 10433934 11924496 13911912 20867868 27823824 41735736 83471472