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94448016 = 24321323881
BaseRepresentation
bin1011010000100…
…10100110010000
320120201110022200
411220102212100
5143134314031
613212203200
72224536435
oct550224620
9216643280
1094448016
114934a213
1227769500
131674b700
14c787b8c
1584598e6
hex5a12990

94448016 has 90 divisors (see below), whose sum is σ = 286293618. Its totient is φ = 29053440.

The previous prime is 94448009. The next prime is 94448021. The reversal of 94448016 is 61084449.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 435600 + 94012416 = 660^2 + 9696^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22396 + ... + 26276.

Almost surely, 294448016 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 94448016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143146809).

94448016 is an abundant number, since it is smaller than the sum of its proper divisors (191845602).

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

94448016 is a wasteful number, since it uses less digits than its factorization.

94448016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 94448016 is about 9718.4369113557. The cubic root of 94448016 is about 455.4048098052.

The spelling of 94448016 in words is "ninety-four million, four hundred forty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 3881 4056 6084 7762 8112 11643 12168 15524 23286 24336 31048 34929 46572 50453 62096 69858 93144 100906 139716 151359 186288 201812 279432 302718 403624 454077 558864 605436 655889 807248 908154 1210872 1311778 1816308 1967667 2421744 2623556 3632616 3935334 5247112 5903001 7265232 7870668 10494224 11806002 15741336 23612004 31482672 47224008 94448016