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425141200 = 245211234201
BaseRepresentation
bin11001010101110…
…010001111010000
31002121222102002101
4121111302033100
51332314004300
6110104130144
713351432501
oct3125621720
91077872071
10425141200
111a8a87970
12ba466954
136a104b53
144066aba8
15274ccb6a
hex195723d0

425141200 has 120 divisors (see below), whose sum is σ = 1162979136. Its totient is φ = 147840000.

The previous prime is 425141153. The next prime is 425141201. The reversal of 425141200 is 2141524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425141201) 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, 99100 + ... + 103300.

Almost surely, 2425141200 is an apocalyptic number.

425141200 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 425141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581489568).

425141200 is an abundant number, since it is smaller than the sum of its proper divisors (737837936).

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

425141200 is a wasteful number, since it uses less digits than its factorization.

425141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 425141200 is about 20618.9524467176. The cubic root of 425141200 is about 751.9305522859.

Adding to 425141200 its reverse (2141524), we get a palindrome (427282724).

It can be divided in two parts, 4251 and 41200, that added together give a triangular number (45451 = T301).

The spelling of 425141200 in words is "four hundred twenty-five million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 176 184 200 220 230 253 275 368 400 440 460 506 550 575 880 920 1012 1100 1150 1265 1840 2024 2200 2300 2530 4048 4201 4400 4600 5060 6325 8402 9200 10120 12650 16804 20240 21005 25300 33608 42010 46211 50600 67216 84020 92422 96623 101200 105025 168040 184844 193246 210050 231055 336080 369688 386492 420100 462110 483115 739376 772984 840200 924220 966230 1062853 1155275 1545968 1680400 1848440 1932460 2125706 2310550 2415575 3696880 3864920 4251412 4621100 4831150 5314265 7729840 8502824 9242200 9662300 10628530 17005648 18484400 19324600 21257060 26571325 38649200 42514120 53142650 85028240 106285300 212570600 425141200