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8422416 = 2432232543
BaseRepresentation
bin100000001000…
…010000010000
3120211220101100
4200020100100
54124004131
6500304400
7131406102
oct40102020
916756340
108422416
114832982
1229a2100
13198b7a2
141193572
15b157e6
hex808410

8422416 has 60 divisors (see below), whose sum is σ = 24605568. Its totient is φ = 2684352.

The previous prime is 8422411. The next prime is 8422451. The reversal of 8422416 is 6142248.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8422416.

It is not an unprimeable number, because it can be changed into a prime (8422411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2041 + ... + 4583.

Almost surely, 28422416 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 8422416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12302784).

8422416 is an abundant number, since it is smaller than the sum of its proper divisors (16183152).

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

8422416 is a wasteful number, since it uses less digits than its factorization.

8422416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2571 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 8422416 is about 2902.1399001427. The cubic root of 8422416 is about 203.4599325076.

It can be divided in two parts, 84 and 22416, that added together give a square (22500 = 1502).

The spelling of 8422416 in words is "eight million, four hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 2543 3312 5086 7629 10172 15258 20344 22887 30516 40688 45774 58489 61032 91548 116978 122064 175467 183096 233956 350934 366192 467912 526401 701868 935824 1052802 1403736 2105604 2807472 4211208 8422416