Search a number
-
+
423081924 = 2231731149449
BaseRepresentation
bin11001001101111…
…011011111000100
31002111002210021220
4121031323133010
51331302110144
6105552040340
713325064666
oct3115733704
91074083256
10423081924
111a7900791
12b98330b0
1369863745
1440292536
1527222919
hex1937b7c4

423081924 has 96 divisors (see below), whose sum is σ = 1088640000. Its totient is φ = 127303680.

The previous prime is 423081823. The next prime is 423081929. The reversal of 423081924 is 429180324.

It is not an unprimeable number, because it can be changed into a prime (423081929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942052 + ... + 942500.

It is an arithmetic number, because the mean of its divisors is an integer number (11340000).

Almost surely, 2423081924 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 423081924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320000).

423081924 is an abundant number, since it is smaller than the sum of its proper divisors (665558076).

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

423081924 is a wasteful number, since it uses less digits than its factorization.

423081924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 423081924 is about 20568.9553453743. The cubic root of 423081924 is about 750.7145332623.

The spelling of 423081924 in words is "four hundred twenty-three million, eighty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 149 186 204 298 372 447 449 527 596 894 898 1054 1347 1581 1788 1796 2108 2533 2694 3162 4619 5066 5388 6324 7599 7633 9238 10132 13857 13919 15198 15266 18476 22899 27714 27838 30396 30532 41757 45798 55428 55676 66901 78523 83514 91596 133802 157046 167028 200703 235569 236623 267604 314092 401406 471138 473246 709869 802812 942276 946492 1137317 1419738 2073931 2274634 2839476 3411951 4147862 4549268 6221793 6823902 8295724 12443586 13647804 24887172 35256827 70513654 105770481 141027308 211540962 423081924