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94211424 = 2534191913
BaseRepresentation
bin1011001110110…
…00110101100000
320120021102210000
411213120311200
5143104231144
613203140000
72222532606
oct547306540
9216242700
1094211424
11491a848a
1227674600
1316697b08
14c725876
15840e769
hex59d8d60

94211424 has 120 divisors (see below), whose sum is σ = 291808440. Its totient is φ = 29735424.

The previous prime is 94211423. The next prime is 94211477. The reversal of 94211424 is 42411249.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94211423) 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 19 ways as a sum of consecutive naturals, for example, 48292 + ... + 50204.

It is an arithmetic number, because the mean of its divisors is an integer number (2431737).

Almost surely, 294211424 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 94211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145904220).

94211424 is an abundant number, since it is smaller than the sum of its proper divisors (197597016).

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

94211424 is a wasteful number, since it uses less digits than its factorization.

94211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1937 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 94211424 is about 9706.2569510600. The cubic root of 94211424 is about 455.0242292777.

The spelling of 94211424 in words is "ninety-four million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 1913 2052 2592 2736 3078 3826 4104 5472 5739 6156 7652 8208 11478 12312 15304 16416 17217 22956 24624 30608 34434 36347 45912 49248 51651 61216 68868 72694 91824 103302 109041 137736 145388 154953 183648 206604 218082 275472 290776 309906 327123 413208 436164 550944 581552 619812 654246 826416 872328 981369 1163104 1239624 1308492 1652832 1744656 1962738 2479248 2616984 2944107 3489312 3925476 4958496 5233968 5888214 7850952 10467936 11776428 15701904 23552856 31403808 47105712 94211424