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5428737100 = 2252435932129
BaseRepresentation
bin1010000111001001…
…11111010001001100
3112000100010102022001
411003210333101030
542104224041400
62254404402044
7251346334603
oct50344772114
915010112261
105428737100
112336420596
1210760a6324
13686922397
14396dc6a3a
1521b8e4a6a
hex14393f44c

5428737100 has 72 divisors (see below), whose sum is σ = 12080320560. Its totient is φ = 2116423680.

The previous prime is 5428737091. The next prime is 5428737103. The reversal of 5428737100 is 17378245.

It is a self number, because there is not a number n which added to its sum of digits gives 5428737100.

It is not an unprimeable number, because it can be changed into a prime (5428737103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2548836 + ... + 2550964.

It is an arithmetic number, because the mean of its divisors is an integer number (167782230).

Almost surely, 25428737100 is an apocalyptic number.

5428737100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5428737100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6040160280).

5428737100 is an abundant number, since it is smaller than the sum of its proper divisors (6651583460).

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

5428737100 is a wasteful number, since it uses less digits than its factorization.

5428737100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 5428737100 is about 73679.9640336503. The cubic root of 5428737100 is about 1757.5172789570.

The spelling of 5428737100 in words is "five billion, four hundred twenty-eight million, seven hundred thirty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 593 860 1075 1186 2129 2150 2372 2965 4258 4300 5930 8516 10645 11860 14825 21290 25499 29650 42580 50998 53225 59300 91547 101996 106450 127495 183094 212900 254990 366188 457735 509980 637475 915470 1262497 1274950 1830940 2288675 2524994 2549900 4577350 5049988 6312485 9154700 12624970 25249940 31562425 54287371 63124850 108574742 126249700 217149484 271436855 542873710 1085747420 1357184275 2714368550 5428737100