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42099024 = 24311711123
BaseRepresentation
bin1010000010011…
…0000101010000
32221012212000010
42200212011100
541234132044
64102154520
71020556452
oct240460520
987185003
1042099024
1121844690
1212122a40
138950086
14583c2d2
153a68bb9
hex2826150

42099024 has 80 divisors (see below), whose sum is σ = 120420864. Its totient is φ = 12566400.

The previous prime is 42099017. The next prime is 42099049.

42099024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42098982 and 42099000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36927 + ... + 38049.

Almost surely, 242099024 is an apocalyptic number.

42099024 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 42099024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60210432).

42099024 is an abundant number, since it is smaller than the sum of its proper divisors (78321840).

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

42099024 is a wasteful number, since it uses less digits than its factorization.

42099024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 42099024 is about 6488.3760680158. The cubic root of 42099024 is about 347.8756326632.

The spelling of 42099024 in words is "forty-two million, ninety-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 426 528 568 781 852 1123 1136 1562 1704 2246 2343 3124 3369 3408 4492 4686 6248 6738 8984 9372 12353 12496 13476 17968 18744 24706 26952 37059 37488 49412 53904 74118 79733 98824 148236 159466 197648 239199 296472 318932 478398 592944 637864 877063 956796 1275728 1754126 1913592 2631189 3508252 3827184 5262378 7016504 10524756 14033008 21049512 42099024