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425414430 = 2345775029
BaseRepresentation
bin11001010110110…
…100111100011110
31002122111021220000
4121112310330132
51332401230210
6110114035130
713353651210
oct3126647436
91078437800
10425414430
111a9154181
12ba578aa6
136a19c31c
14406dc5b0
1527533ac0
hex195b4f1e

425414430 has 80 divisors (see below), whose sum is σ = 1307322720. Its totient is φ = 97236288.

The previous prime is 425414399. The next prime is 425414449. The reversal of 425414430 is 34414524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 425414394 and 425414403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31845 + ... + 43184.

It is an arithmetic number, because the mean of its divisors is an integer number (16341534).

Almost surely, 2425414430 is an apocalyptic number.

425414430 is an abundant number, since it is smaller than the sum of its proper divisors (881908290).

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

425414430 is a wasteful number, since it uses less digits than its factorization.

425414430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75055 (or 75046 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 425414430 is about 20625.5770828358. The cubic root of 425414430 is about 752.0916015151.

Adding to 425414430 its reverse (34414524), we get a palindrome (459828954).

It can be divided in two parts, 42541 and 4430, that added together give a triangular number (46971 = T306).

The spelling of 425414430 in words is "four hundred twenty-five million, four hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5670 75029 150058 225087 375145 450174 525203 675261 750290 1050406 1125435 1350522 1575609 2025783 2250870 2626015 3151218 3376305 4051566 4726827 5252030 6077349 6752610 7878045 9453654 10128915 12154698 14180481 15756090 20257830 23634135 28360962 30386745 42541443 47268270 60773490 70902405 85082886 141804810 212707215 425414430