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94990368 = 25311233911
BaseRepresentation
bin1011010100101…
…11000000100000
320121202000021210
411222113000200
5143304142433
613231550120
72232255564
oct552270040
9217660253
1094990368
114968a740
122798b340
13168ab525
14c8896a4
158515463
hex5a97020

94990368 has 96 divisors (see below), whose sum is σ = 283917312. Its totient is φ = 27526400.

The previous prime is 94990361. The next prime is 94990387. The reversal of 94990368 is 86309949.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (94990361) 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, 22333 + ... + 26243.

It is an arithmetic number, because the mean of its divisors is an integer number (2957472).

Almost surely, 294990368 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 94990368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141958656).

94990368 is an abundant number, since it is smaller than the sum of its proper divisors (188926944).

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

94990368 is a wasteful number, since it uses less digits than its factorization.

94990368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 94990368 is about 9746.3002211095. The cubic root of 94990368 is about 456.2748420076.

The spelling of 94990368 in words is "ninety-four million, nine hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 3911 4048 6072 7822 8096 11733 12144 15644 23466 24288 31288 43021 46932 62576 86042 89953 93864 125152 129063 172084 179906 187728 258126 269859 344168 359812 375456 516252 539718 688336 719624 989483 1032504 1079436 1376672 1439248 1978966 2065008 2158872 2878496 2968449 3957932 4130016 4317744 5936898 7915864 8635488 11873796 15831728 23747592 31663456 47495184 94990368