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424646420 = 2251129101659
BaseRepresentation
bin11001010011111…
…001011100010100
31002121001021101012
4121103321130110
51332202141140
6110045351352
713344302132
oct3123713424
91077037335
10424646420
111a877a160
12ba268558
1369c90893
144057c752
1527431265
hex194f9714

424646420 has 96 divisors (see below), whose sum is σ = 1017878400. Its totient is φ = 147392000.

The previous prime is 424646413. The next prime is 424646477. The reversal of 424646420 is 24646424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644051 + ... + 644709.

It is an arithmetic number, because the mean of its divisors is an integer number (10602900).

Almost surely, 2424646420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424646420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508939200).

424646420 is an abundant number, since it is smaller than the sum of its proper divisors (593231980).

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

424646420 is a wasteful number, since it uses less digits than its factorization.

424646420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 424646420 is about 20606.9507690973. The cubic root of 424646420 is about 751.6387397312.

It can be divided in two parts, 42464 and 6420, that added together give a palindrome (48884).

The spelling of 424646420 in words is "four hundred twenty-four million, six hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 101 110 116 145 202 220 290 319 404 505 580 638 659 1010 1111 1276 1318 1595 2020 2222 2636 2929 3190 3295 4444 5555 5858 6380 6590 7249 11110 11716 13180 14498 14645 19111 22220 28996 29290 32219 36245 38222 58580 64438 66559 72490 76444 95555 128876 133118 144980 161095 191110 210221 266236 322190 332795 382220 420442 644380 665590 732149 840884 1051105 1331180 1464298 1930211 2102210 2928596 3660745 3860422 4204420 7321490 7720844 9651055 14642980 19302110 21232321 38604220 42464642 84929284 106161605 212323210 424646420