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5416505200 = 245250326921
BaseRepresentation
bin1010000101101100…
…10100111101110000
3111222111002222021201
411002312110331300
542043111131300
62253250300544
7251140351231
oct50266247560
914874088251
105416505200
11232a526587
121071b87754
1368422b982
14395521088
1521a7ca66a
hex142d94f70

5416505200 has 60 divisors (see below), whose sum is σ = 13039509168. Its totient is φ = 2162214400.

The previous prime is 5416505119. The next prime is 5416505231. The reversal of 5416505200 is 25056145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187740 + ... + 214660.

Almost surely, 25416505200 is an apocalyptic number.

5416505200 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 5416505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519754584).

5416505200 is an abundant number, since it is smaller than the sum of its proper divisors (7623003968).

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

5416505200 is a wasteful number, since it uses less digits than its factorization.

5416505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27442 (or 27431 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 5416505200 is about 73596.9102612331. The cubic root of 5416505200 is about 1756.1962877491.

The spelling of 5416505200 in words is "five billion, four hundred sixteen million, five hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 503 1006 2012 2515 4024 5030 8048 10060 12575 20120 25150 26921 40240 50300 53842 100600 107684 134605 201200 215368 269210 430736 538420 673025 1076840 1346050 2153680 2692100 5384200 10768400 13541263 27082526 54165052 67706315 108330104 135412630 216660208 270825260 338531575 541650520 677063150 1083301040 1354126300 2708252600 5416505200