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5984413900 = 2252294634457
BaseRepresentation
bin1011001001011001…
…01110100011001100
3120110001201201120021
411210230232203030
544224002221100
62425454431524
7301204451563
oct54454564314
916401651507
105984413900
1125a1055813
1211b02025a4
13744a9c71a
1440ab12bda
152505a9a1a
hex164b2e8cc

5984413900 has 72 divisors (see below), whose sum is σ = 13466013120. Its totient is φ = 2305712640.

The previous prime is 5984413891. The next prime is 5984413949. The reversal of 5984413900 is 93144895.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1340472 + ... + 1344928.

It is an arithmetic number, because the mean of its divisors is an integer number (187027960).

Almost surely, 25984413900 is an apocalyptic number.

5984413900 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 5984413900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733006560).

5984413900 is an abundant number, since it is smaller than the sum of its proper divisors (7481599220).

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

5984413900 is a wasteful number, since it uses less digits than its factorization.

5984413900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 5984413900 is about 77358.9936594317. The cubic root of 5984413900 is about 1815.5457938080.

The spelling of 5984413900 in words is "five billion, nine hundred eighty-four million, four hundred thirteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 463 580 725 926 1450 1852 2315 2900 4457 4630 8914 9260 11575 13427 17828 22285 23150 26854 44570 46300 53708 67135 89140 111425 129253 134270 222850 258506 268540 335675 445700 517012 646265 671350 1292530 1342700 2063591 2585060 3231325 4127182 6462650 8254364 10317955 12925300 20635910 41271820 51589775 59844139 103179550 119688278 206359100 239376556 299220695 598441390 1196882780 1496103475 2992206950 5984413900