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94144208 = 24291371481
BaseRepresentation
bin1011001110010…
…00011011010000
320120011000120112
411213020123100
5143100103313
613201500452
72222132624
oct547103320
9216130515
1094144208
1149161a34
1227641728
1316673342
14c709184
1583e98a8
hex59c86d0

94144208 has 40 divisors (see below), whose sum is σ = 190199880. Its totient is φ = 45086720.

The previous prime is 94144201. The next prime is 94144217. The reversal of 94144208 is 80244149.

It can be written as a sum of positive squares in 4 ways, for example, as 15147664 + 78996544 = 3892^2 + 8888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94144201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62828 + ... + 64308.

It is an arithmetic number, because the mean of its divisors is an integer number (4754997).

Almost surely, 294144208 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 94144208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95099940).

94144208 is an abundant number, since it is smaller than the sum of its proper divisors (96055672).

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

94144208 is a wasteful number, since it uses less digits than its factorization.

94144208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 94144208 is about 9702.7938244611. The cubic root of 94144208 is about 454.9159898029.

The spelling of 94144208 in words is "ninety-four million, one hundred forty-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 29 58 116 137 232 274 464 548 1096 1481 2192 2962 3973 5924 7946 11848 15892 23696 31784 42949 63568 85898 171796 202897 343592 405794 687184 811588 1623176 3246352 5884013 11768026 23536052 47072104 94144208