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423789824 = 282416869
BaseRepresentation
bin11001010000101…
…000010100000000
31002112102202100102
4121100220110000
51331442233244
6110015141532
713334103563
oct3120502400
91075382312
10423789824
111a8244627
12b9b148a8
1369a50a13
14403d84da
152731254e
hex19428500

423789824 has 36 divisors (see below), whose sum is σ = 849557940. Its totient is φ = 210984960.

The previous prime is 423789791. The next prime is 423789827. The reversal of 423789824 is 428987324.

It can be written as a sum of positive squares in 2 ways, for example, as 129049600 + 294740224 = 11360^2 + 17168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423789827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58262 + ... + 65130.

Almost surely, 2423789824 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 423789824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424778970).

423789824 is an abundant number, since it is smaller than the sum of its proper divisors (425768116).

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

423789824 is an equidigital number, since it uses as much as digits as its factorization.

423789824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7126 (or 7112 counting only the distinct ones).

The product of its digits is 774144, while the sum is 47.

The square root of 423789824 is about 20586.1561249302. The cubic root of 423789824 is about 751.1329980771.

The spelling of 423789824 in words is "four hundred twenty-three million, seven hundred eighty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 241 256 482 964 1928 3856 6869 7712 13738 15424 27476 30848 54952 61696 109904 219808 439616 879232 1655429 1758464 3310858 6621716 13243432 26486864 52973728 105947456 211894912 423789824