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42999924 = 223112947239
BaseRepresentation
bin1010010000001…
…0000001110100
32222220121210210
42210002001310
542001444144
64133345420
71031331132
oct244020164
988817723
1042999924
11222aa530
1212498270
138ba7156
1459d4752
153b95ab9
hex2902074

42999924 has 96 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 12261760.

The previous prime is 42999923. The next prime is 42999947.

42999924 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42999923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179797 + ... + 180035.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 242999924 is an apocalyptic number.

42999924 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42999924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

42999924 is an abundant number, since it is smaller than the sum of its proper divisors (73121676).

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

42999924 is a wasteful number, since it uses less digits than its factorization.

42999924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 331 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 42999924 is about 6557.4327293538. The cubic root of 42999924 is about 350.3395996368.

The spelling of 42999924 in words is "forty-two million, nine hundred ninety-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 47 58 66 87 94 116 132 141 174 188 239 282 319 348 478 517 564 638 717 956 957 1034 1276 1363 1434 1551 1914 2068 2629 2726 2868 3102 3828 4089 5258 5452 6204 6931 7887 8178 10516 11233 13862 14993 15774 16356 20793 22466 27724 29986 31548 33699 41586 44932 44979 59972 67398 76241 83172 89958 123563 134796 152482 179916 228723 247126 304964 325757 370689 457446 494252 651514 741378 914892 977271 1303028 1482756 1954542 3583327 3909084 7166654 10749981 14333308 21499962 42999924