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42119472 = 2431771727
BaseRepresentation
bin1010000010101…
…1000100110000
32221020220001110
42200223010300
541240310342
64102433320
71021003203
oct240530460
987226043
1042119472
1121858a8a
1212132840
138959485
14584593a
153a6ec9c
hex282b130

42119472 has 80 divisors (see below), whose sum is σ = 116992512. Its totient is φ = 13009920.

The previous prime is 42119461. The next prime is 42119491. The reversal of 42119472 is 27491124.

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, 57573 + ... + 58299.

Almost surely, 242119472 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 42119472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

42119472 is an abundant number, since it is smaller than the sum of its proper divisors (74873040).

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

42119472 is a wasteful number, since it uses less digits than its factorization.

42119472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 42119472 is about 6489.9516176933. The cubic root of 42119472 is about 347.9319460001.

The spelling of 42119472 in words is "forty-two million, one hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 71 102 136 142 204 213 272 284 408 426 568 727 816 852 1136 1207 1454 1704 2181 2414 2908 3408 3621 4362 4828 5816 7242 8724 9656 11632 12359 14484 17448 19312 24718 28968 34896 37077 49436 51617 57936 74154 98872 103234 148308 154851 197744 206468 296616 309702 412936 593232 619404 825872 877489 1238808 1754978 2477616 2632467 3509956 5264934 7019912 10529868 14039824 21059736 42119472