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423980144 = 24724791129
BaseRepresentation
bin11001010001010…
…110110001110000
31002112210102102022
4121101112301300
51332014331034
6110023211012
713335525500
oct3121266160
91075712368
10423980144
111a8364615
12b9ba6a68
1369ab9533
1440447a00
152734db2e
hex19456c70

423980144 has 60 divisors (see below), whose sum is σ = 958420800. Its totient is φ = 181165824.

The previous prime is 423980143. The next prime is 423980189. The reversal of 423980144 is 441089324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423980143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374972 + ... + 376100.

It is an arithmetic number, because the mean of its divisors is an integer number (15973680).

Almost surely, 2423980144 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 423980144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479210400).

423980144 is an abundant number, since it is smaller than the sum of its proper divisors (534440656).

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

423980144 is a wasteful number, since it uses less digits than its factorization.

423980144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 423980144 is about 20590.7781300270. The cubic root of 423980144 is about 751.2454234898.

The spelling of 423980144 in words is "four hundred twenty-three million, nine hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 479 784 958 1129 1916 2258 3353 3832 4516 6706 7664 7903 9032 13412 15806 18064 23471 26824 31612 46942 53648 55321 63224 93884 110642 126448 187768 221284 375536 442568 540791 885136 1081582 2163164 3785537 4326328 7571074 8652656 15142148 26498759 30284296 52997518 60568592 105995036 211990072 423980144