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424113024 = 2731318431
BaseRepresentation
bin11001010001110…
…111001110000000
31002120001011200210
4121101313032000
51332033104044
6110030114120
713336621056
oct3121671600
91076034623
10424113024
111a8445435
12ba04b940
1369b34b6a
14404801d6
15273781b9
hex19477380

424113024 has 64 divisors (see below), whose sum is σ = 1135284480. Its totient is φ = 140275200.

The previous prime is 424112993. The next prime is 424113043. The reversal of 424113024 is 420311424.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 46089 + ... + 54519.

It is an arithmetic number, because the mean of its divisors is an integer number (17738820).

Almost surely, 2424113024 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 424113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567642240).

424113024 is an abundant number, since it is smaller than the sum of its proper divisors (711171456).

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

424113024 is a wasteful number, since it uses less digits than its factorization.

424113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579 (or 8567 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 424113024 is about 20594.0045644357. The cubic root of 424113024 is about 751.3238981277.

Adding to 424113024 its reverse (420311424), we get a palindrome (844424448).

The spelling of 424113024 in words is "four hundred twenty-four million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 262 384 393 524 786 1048 1572 2096 3144 4192 6288 8384 8431 12576 16768 16862 25152 25293 33724 50304 50586 67448 101172 134896 202344 269792 404688 539584 809376 1079168 1104461 1618752 2208922 3237504 3313383 4417844 6626766 8835688 13253532 17671376 26507064 35342752 53014128 70685504 106028256 141371008 212056512 424113024