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425541200 = 24527379401
BaseRepresentation
bin11001010111010…
…011111001010000
31002122201201210012
4121113103321100
51332414304300
6110120454052
713355016620
oct3127237120
91078651705
10425541200
111a9230447
12ba61a328
136a214c36
1440732880
152755b435
hex195d3e50

425541200 has 120 divisors (see below), whose sum is σ = 1174418880. Its totient is φ = 145152000.

The previous prime is 425541197. The next prime is 425541209. The reversal of 425541200 is 2145524.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425541209) 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, 1061000 + ... + 1061400.

It is an arithmetic number, because the mean of its divisors is an integer number (9786824).

Almost surely, 2425541200 is an apocalyptic number.

425541200 is a gapful number since it is divisible by the number (40) 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 425541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587209440).

425541200 is an abundant number, since it is smaller than the sum of its proper divisors (748877680).

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

425541200 is a wasteful number, since it uses less digits than its factorization.

425541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 425541200 is about 20628.6499800641. The cubic root of 425541200 is about 752.1662997988.

Adding to 425541200 its reverse (2145524), we get a palindrome (427686724).

The spelling of 425541200 in words is "four hundred twenty-five million, five hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 379 400 401 560 700 758 802 1400 1516 1604 1895 2005 2653 2800 2807 3032 3208 3790 4010 5306 5614 6064 6416 7580 8020 9475 10025 10612 11228 13265 14035 15160 16040 18950 20050 21224 22456 26530 28070 30320 32080 37900 40100 42448 44912 53060 56140 66325 70175 75800 80200 106120 112280 132650 140350 151600 151979 160400 212240 224560 265300 280700 303958 530600 561400 607916 759895 1061200 1063853 1122800 1215832 1519790 2127706 2431664 3039580 3799475 4255412 5319265 6079160 7598950 8510824 10638530 12158320 15197900 17021648 21277060 26596325 30395800 42554120 53192650 60791600 85108240 106385300 212770600 425541200