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94790096 = 24172961197
BaseRepresentation
bin1011010011001…
…10000111010000
320121100211120022
411221212013100
5143231240341
613223403012
72230462652
oct551460720
9217324508
1094790096
1149563225
12278b3468
131683b31b
14c8366d2
1584c5e4b
hex5a661d0

94790096 has 80 divisors (see below), whose sum is σ = 205500240. Its totient is φ = 42147840.

The previous prime is 94790093. The next prime is 94790119. The reversal of 94790096 is 69009749.

It can be written as a sum of positive squares in 8 ways, for example, as 3013696 + 91776400 = 1736^2 + 9580^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94790093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481070 + ... + 481266.

It is an arithmetic number, because the mean of its divisors is an integer number (2568753).

Almost surely, 294790096 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 94790096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102750120).

94790096 is an abundant number, since it is smaller than the sum of its proper divisors (110710144).

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

94790096 is a wasteful number, since it uses less digits than its factorization.

94790096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 44.

The square root of 94790096 is about 9736.0205422955. The cubic root of 94790096 is about 455.9539555437.

The spelling of 94790096 in words is "ninety-four million, seven hundred ninety thousand, ninety-six".

Divisors: 1 2 4 8 16 17 29 34 58 61 68 116 122 136 197 232 244 272 394 464 488 493 788 976 986 1037 1576 1769 1972 2074 3152 3349 3538 3944 4148 5713 6698 7076 7888 8296 11426 12017 13396 14152 16592 22852 24034 26792 28304 30073 45704 48068 53584 60146 91408 96136 97121 120292 192272 194242 204289 240584 348493 388484 408578 481168 696986 776968 817156 1393972 1553936 1634312 2787944 3268624 5575888 5924381 11848762 23697524 47395048 94790096