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4034889828 = 2233295092531
BaseRepresentation
bin1111000001111111…
…1000100001100100
3101102012100122022000
43300133320201210
531230412433303
61504213405300
7201662666124
oct36037704144
911365318260
104034889828
1117906544a2
12947339830
134c3c19298
142a3c36c84
15189367da3
hexf07f8864

4034889828 has 96 divisors (see below), whose sum is σ = 10847088000. Its totient is φ = 1295521920.

The previous prime is 4034889791. The next prime is 4034889851. The reversal of 4034889828 is 8289884304.

4034889828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592923 + ... + 1595453.

It is an arithmetic number, because the mean of its divisors is an integer number (112990500).

Almost surely, 24034889828 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 4034889828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423544000).

4034889828 is an abundant number, since it is smaller than the sum of its proper divisors (6812198172).

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

4034889828 is a wasteful number, since it uses less digits than its factorization.

4034889828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 4034889828 is about 63520.7826463119. The cubic root of 4034889828 is about 1592.0030433727.

The spelling of 4034889828 in words is "four billion, thirty-four million, eight hundred eighty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 509 522 783 1018 1044 1527 1566 2036 2531 3054 3132 4581 5062 6108 7593 9162 10124 13743 14761 15186 18324 22779 27486 29522 30372 44283 45558 54972 59044 68337 73399 88566 91116 132849 136674 146798 177132 220197 265698 273348 293596 398547 440394 531396 660591 797094 880788 1288279 1321182 1594188 1981773 2576558 2642364 3864837 3963546 5153116 7729674 7927092 11594511 15459348 23189022 34783533 37360091 46378044 69567066 74720182 112080273 139134132 149440364 224160546 336240819 448321092 672481638 1008722457 1344963276 2017444914 4034889828