Search a number
-
+
5424150400 = 27521989213
BaseRepresentation
bin1010000110100110…
…11111011110000000
3112000000111101112021
411003103133132000
542102040303100
62254122211224
7251262342364
oct50323373600
915000441467
105424150400
112333878529
121074653b14
136859a7766
143965512a4
1521b2daa1a
hex1434df780

5424150400 has 96 divisors (see below), whose sum is σ = 14104733400. Its totient is φ = 2055444480.

The previous prime is 5424150397. The next prime is 5424150409. The reversal of 5424150400 is 40514245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5424150409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16194 + ... + 105406.

Almost surely, 25424150400 is an apocalyptic number.

5424150400 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 5424150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052366700).

5424150400 is an abundant number, since it is smaller than the sum of its proper divisors (8680583000).

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

5424150400 is a wasteful number, since it uses less digits than its factorization.

5424150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89256 (or 89239 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 5424150400 is about 73648.8316268493. The cubic root of 5424150400 is about 1757.0221683566.

Adding to 5424150400 its reverse (40514245), we get a palindrome (5464664645).

The spelling of 5424150400 in words is "five billion, four hundred twenty-four million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 304 320 380 400 475 608 640 760 800 950 1216 1520 1600 1900 2432 3040 3200 3800 6080 7600 12160 15200 30400 60800 89213 178426 356852 446065 713704 892130 1427408 1695047 1784260 2230325 2854816 3390094 3568520 4460650 5709632 6780188 7137040 8475235 8921300 11419264 13560376 14274080 16950470 17842600 27120752 28548160 33900940 35685200 42376175 54241504 57096320 67801880 71370400 84752350 108483008 135603760 142740800 169504700 216966016 271207520 285481600 339009400 542415040 678018800 1084830080 1356037600 2712075200 5424150400