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1924284054 = 237112794793
BaseRepresentation
bin111001010110010…
…0011111010010110
311222002212202110210
41302230203322112
512420104042204
6514540030250
765454100410
oct16254437226
94862782423
101924284054
118a8232100
12458532386
13248886c24
141437c99b0
15b3e08389
hex72b23e96

1924284054 has 96 divisors (see below), whose sum is σ = 4896783360. Its totient is φ = 493384320.

The previous prime is 1924283971. The next prime is 1924284073. The reversal of 1924284054 is 4504824291.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399082 + ... + 403874.

It is an arithmetic number, because the mean of its divisors is an integer number (51008160).

Almost surely, 21924284054 is an apocalyptic number.

1924284054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1924284054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448391680).

1924284054 is an abundant number, since it is smaller than the sum of its proper divisors (2972499306).

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

1924284054 is a wasteful number, since it uses less digits than its factorization.

1924284054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1924284054 is about 43866.6622163118. The cubic root of 1924284054 is about 1243.8167290141.

The spelling of 1924284054 in words is "one billion, nine hundred twenty-four million, two hundred eighty-four thousand, fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 79 121 154 158 231 237 242 363 462 474 553 726 847 869 1106 1659 1694 1738 2541 2607 3318 4793 5082 5214 6083 9559 9586 12166 14379 18249 19118 28677 28758 33551 36498 52723 57354 66913 67102 100653 105446 133826 158169 200739 201306 316338 369061 378647 401478 579953 738122 757294 1107183 1135941 1159906 1739859 2214366 2271882 2650529 3479718 4059671 4165117 5301058 7951587 8119342 8330234 12179013 12495351 15903174 24358026 24990702 29155819 45816287 58311638 87467457 91632574 137448861 174934914 274897722 320714009 641428018 962142027 1924284054