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71876484 = 22361572
BaseRepresentation
bin1000100100010…
…11111110000100
312000020201000000
410102023332010
5121400021414
611044321300
71531640301
oct422137604
9160221000
1071876484
1137632959
12200a3230
1311b77984
1497900a8
15649bb09
hex448bf84

71876484 has 63 divisors (see below), whose sum is σ = 189798357. Its totient is φ = 23806224.

The previous prime is 71876473. The next prime is 71876509. The reversal of 71876484 is 48467817.

The square root of 71876484 is 8478.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21068100 + 50808384 = 4590^2 + 7128^2 .

Its product of digits (301056) is a multiple of the sum of its prime factors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 457734 + ... + 457890.

Almost surely, 271876484 is an apocalyptic number.

71876484 is the 8478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71876484

71876484 is an abundant number, since it is smaller than the sum of its proper divisors (117921873).

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

71876484 is an equidigital number, since it uses as much as digits as its factorization.

71876484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 162 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The cubic root of 71876484 is about 415.7787361926.

The spelling of 71876484 in words is "seventy-one million, eight hundred seventy-six thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 243 314 324 471 486 628 729 942 972 1413 1458 1884 2826 2916 4239 5652 8478 12717 16956 24649 25434 38151 49298 50868 73947 76302 98596 114453 147894 152604 221841 228906 295788 443682 457812 665523 887364 1331046 1996569 2662092 3993138 5989707 7986276 11979414 17969121 23958828 35938242 71876484