Search a number
-
+
425869200 = 243252118297
BaseRepresentation
bin11001011000100…
…011111110010000
31002200100101201100
4121120203332100
51333010303300
6110131504400
713360554111
oct3130437620
91080311640
10425869200
111a9434919
12ba758100
136a2cb313
14407ba208
15275c3700
hex19623f90

425869200 has 90 divisors (see below), whose sum is σ = 1477896914. Its totient is φ = 113564160.

The previous prime is 425869181. The next prime is 425869217. The reversal of 425869200 is 2968524.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1838736 + 424030464 = 1356^2 + 20592^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55549 + ... + 62748.

Almost surely, 2425869200 is an apocalyptic number.

425869200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425869200 is an abundant number, since it is smaller than the sum of its proper divisors (1052027714).

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

425869200 is a wasteful number, since it uses less digits than its factorization.

425869200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118321 (or 118307 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 425869200 is about 20636.5985569328. The cubic root of 425869200 is about 752.3595025460.

The spelling of 425869200 in words is "four hundred twenty-five million, eight hundred sixty-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 118297 236594 354891 473188 591485 709782 946376 1064673 1182970 1419564 1774455 1892752 2129346 2365940 2839128 2957425 3548910 4258692 4731880 5323365 5678256 5914850 7097820 8517384 8872275 9463760 10646730 11829700 14195640 17034768 17744550 21293460 23659400 26616825 28391280 35489100 42586920 47318800 53233650 70978200 85173840 106467300 141956400 212934600 425869200