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94480064 = 267316803
BaseRepresentation
bin1011010000110…
…10011011000000
320120210002021122
411220122123000
5143141330224
613213011412
72225032040
oct550323300
9216702248
1094480064
11493712a8
1227783b68
1316760183
14c795720
15846415e
hex5a1a6c0

94480064 has 56 divisors (see below), whose sum is σ = 221211648. Its totient is φ = 39179520.

The previous prime is 94480051. The next prime is 94480069. The reversal of 94480064 is 46008449.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×944800643 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (94480069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10487 + ... + 17289.

It is an arithmetic number, because the mean of its divisors is an integer number (3950208).

Almost surely, 294480064 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 94480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110605824).

94480064 is an abundant number, since it is smaller than the sum of its proper divisors (126731584).

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

94480064 is a wasteful number, since it uses less digits than its factorization.

94480064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6843 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 94480064 is about 9720.0855963309. The cubic root of 94480064 is about 455.4563131383.

The spelling of 94480064 in words is "ninety-four million, four hundred eighty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6803 6944 13606 13888 27212 47621 54424 95242 108848 190484 210893 217696 380968 421786 435392 761936 843572 1476251 1523872 1687144 2952502 3047744 3374288 5905004 6748576 11810008 13497152 23620016 47240032 94480064