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94014928 = 247337463
BaseRepresentation
bin1011001101010…
…00110111010000
320112220110020101
411212220313100
5143031434203
613155022144
72221054000
oct546506720
9215813211
1094014928
1149083897
122759a954
1316629547
14c6b4000
1583c141d
hex59a8dd0

94014928 has 80 divisors (see below), whose sum is σ = 218636800. Its totient is φ = 39118464.

The previous prime is 94014911. The next prime is 94014929. The reversal of 94014928 is 82941049.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94014929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202825 + ... + 203287.

It is an arithmetic number, because the mean of its divisors is an integer number (2732960).

Almost surely, 294014928 is an apocalyptic number.

94014928 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94014928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109318400).

94014928 is an abundant number, since it is smaller than the sum of its proper divisors (124621872).

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

94014928 is a wasteful number, since it uses less digits than its factorization.

94014928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 94014928 is about 9696.1295370885. The cubic root of 94014928 is about 454.7076623118.

The spelling of 94014928 in words is "ninety-four million, fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 343 392 463 518 592 686 784 926 1036 1372 1813 1852 2072 2744 3241 3626 3704 4144 5488 6482 7252 7408 12691 12964 14504 17131 22687 25382 25928 29008 34262 45374 50764 51856 68524 90748 101528 119917 137048 158809 181496 203056 239834 274096 317618 362992 479668 635236 839419 959336 1270472 1678838 1918672 2540944 3357676 5875933 6715352 11751866 13430704 23503732 47007464 94014928