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42067452 = 22371789331
BaseRepresentation
bin1010000001111…
…0010111111100
32221011020200210
42200132113330
541232124302
64101352420
71020365430
oct240362774
987136623
1042067452
1121822999
1212108710
13893b8ab
1458309c0
153a5e66c
hex281e5fc

42067452 has 96 divisors (see below), whose sum is σ = 120476160. Its totient is φ = 11151360.

The previous prime is 42067447. The next prime is 42067457. The reversal of 42067452 is 25476024.

It is an interprime number because it is at equal distance from previous prime (42067447) and next prime (42067457).

It is a super-3 number, since 3×420674523 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42067457) 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, 126927 + ... + 127257.

It is an arithmetic number, because the mean of its divisors is an integer number (1254960).

Almost surely, 242067452 is an apocalyptic number.

42067452 is a gapful number since it is divisible by the number (42) 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 42067452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60238080).

42067452 is an abundant number, since it is smaller than the sum of its proper divisors (78408708).

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

42067452 is a wasteful number, since it uses less digits than its factorization.

42067452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 42067452 is about 6485.9426454448. The cubic root of 42067452 is about 347.7886482539.

The spelling of 42067452 in words is "forty-two million, sixty-seven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 89 102 119 178 204 238 267 331 356 357 476 534 623 662 714 993 1068 1246 1324 1428 1513 1869 1986 2317 2492 3026 3738 3972 4539 4634 5627 6052 6951 7476 9078 9268 10591 11254 13902 16881 18156 21182 22508 27804 29459 31773 33762 39389 42364 58918 63546 67524 78778 88377 117836 118167 127092 157556 176754 206213 236334 353508 412426 472668 500803 618639 824852 1001606 1237278 1502409 2003212 2474556 3004818 3505621 6009636 7011242 10516863 14022484 21033726 42067452