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424131132 = 2232310091523
BaseRepresentation
bin11001010001111…
…011101000111100
31002120002002112110
4121101323220330
51332034144012
6110030334020
713340024625
oct3121735074
91076062473
10424131132
111a8457aa7
12ba05a310
1369b40189
1440486a4c
152737d73c
hex1947ba3c

424131132 has 48 divisors (see below), whose sum is σ = 1034369280. Its totient is φ = 135007488.

The previous prime is 424131121. The next prime is 424131133. The reversal of 424131132 is 231131424.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 424131099 and 424131108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424131133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277723 + ... + 279245.

It is an arithmetic number, because the mean of its divisors is an integer number (21549360).

Almost surely, 2424131132 is an apocalyptic number.

It is an amenable number.

424131132 is an abundant number, since it is smaller than the sum of its proper divisors (610238148).

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

424131132 is a wasteful number, since it uses less digits than its factorization.

424131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562 (or 2560 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 424131132 is about 20594.4442022600. Note that the first 3 decimals coincide. The cubic root of 424131132 is about 751.3345908588.

Adding to 424131132 its reverse (231131424), we get a palindrome (655262556).

The spelling of 424131132 in words is "four hundred twenty-four million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 1009 1523 2018 3027 3046 4036 4569 6054 6092 9138 12108 18276 23207 35029 46414 69621 70058 92828 105087 139242 140116 210174 278484 420348 1536707 3073414 4610121 6146828 9220242 18440484 35344261 70688522 106032783 141377044 212065566 424131132