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42023232 = 263383293
BaseRepresentation
bin1010000001001…
…1100101000000
32221002000001000
42200103211000
541224220412
64100412000
71020122466
oct240234500
987060030
1042023232
11217a2749
12120a7000
138924724
14581c836
153a514dc
hex2813940

42023232 has 112 divisors (see below), whose sum is σ = 125455680. Its totient is φ = 13791744.

The previous prime is 42023227. The next prime is 42023239. The reversal of 42023232 is 23232024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42023239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143278 + ... + 143570.

It is an arithmetic number, because the mean of its divisors is an integer number (1120140).

Almost surely, 242023232 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 42023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62727840).

42023232 is an abundant number, since it is smaller than the sum of its proper divisors (83432448).

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

42023232 is a wasteful number, since it uses less digits than its factorization.

42023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42023232 is about 6482.5328383279. The cubic root of 42023232 is about 347.6667439854. Note that the first 3 decimals are identical.

Adding to 42023232 its reverse (23232024), we get a palindrome (65255256).

The spelling of 42023232 in words is "forty-two million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 144 166 192 216 249 288 293 332 432 498 576 586 664 747 864 879 996 1172 1328 1494 1728 1758 1992 2241 2344 2637 2656 2988 3516 3984 4482 4688 5274 5312 5976 7032 7911 7968 8964 9376 10548 11952 14064 15822 15936 17928 18752 21096 23904 24319 28128 31644 35856 42192 47808 48638 56256 63288 71712 72957 84384 97276 126576 143424 145914 168768 194552 218871 253152 291828 389104 437742 506304 583656 656613 778208 875484 1167312 1313226 1556416 1750968 2334624 2626452 3501936 4669248 5252904 7003872 10505808 14007744 21011616 42023232