Search a number
-
+
71696416 = 25111491367
BaseRepresentation
bin1000100011000…
…00000000100000
311222220112222211
410101200000200
5121323241131
611040411504
71530260311
oct421400040
9158815884
1071696416
113751a640
1220016b94
1311b13a1c
149744608
1564635b1
hex4460020

71696416 has 48 divisors (see below), whose sum is σ = 155131200. Its totient is φ = 32346880.

The previous prime is 71696407. The next prime is 71696441. The reversal of 71696416 is 61469617.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51765 + ... + 53131.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 271696416 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 71696416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77565600).

71696416 is an abundant number, since it is smaller than the sum of its proper divisors (83434784).

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

71696416 is a wasteful number, since it uses less digits than its factorization.

71696416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1529 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The square root of 71696416 is about 8467.3736187793. The cubic root of 71696416 is about 415.4312370308.

The spelling of 71696416 in words is "seventy-one million, six hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 149 176 298 352 596 1192 1367 1639 2384 2734 3278 4768 5468 6556 10936 13112 15037 21872 26224 30074 43744 52448 60148 120296 203683 240592 407366 481184 814732 1629464 2240513 3258928 4481026 6517856 8962052 17924104 35848208 71696416