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42235452 = 22337223347
BaseRepresentation
bin1010000100011…
…1011000111100
32221110210011000
42201013120330
541303013302
64105130300
71021665300
oct241073074
987423130
1042235452
1121928136
1212189990
13899a1bc
145875d00
153a9431c
hex284763c

42235452 has 144 divisors (see below), whose sum is σ = 133297920. Its totient is φ = 11509344.

The previous prime is 42235451. The next prime is 42235471. The reversal of 42235452 is 25453224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42235451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121543 + ... + 121889.

It is an arithmetic number, because the mean of its divisors is an integer number (925680).

Almost surely, 242235452 is an apocalyptic number.

42235452 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 42235452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66648960).

42235452 is an abundant number, since it is smaller than the sum of its proper divisors (91062468).

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

42235452 is a wasteful number, since it uses less digits than its factorization.

42235452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 382 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 42235452 is about 6498.8808267270. The cubic root of 42235452 is about 348.2510079683.

Adding to 42235452 its reverse (25453224), we get a palindrome (67688676).

The spelling of 42235452 in words is "forty-two million, two hundred thirty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 49 54 63 69 84 92 98 108 126 138 147 161 189 196 207 252 276 294 322 347 378 414 441 483 588 621 644 694 756 828 882 966 1041 1127 1242 1323 1388 1449 1764 1932 2082 2254 2429 2484 2646 2898 3123 3381 4164 4347 4508 4858 5292 5796 6246 6762 7287 7981 8694 9369 9716 10143 12492 13524 14574 15962 17003 17388 18738 20286 21861 23943 29148 30429 31924 34006 37476 40572 43722 47886 51009 55867 60858 65583 68012 71829 87444 95772 102018 111734 121716 131166 143658 153027 167601 204036 215487 223468 262332 287316 306054 335202 391069 430974 459081 502803 612108 670404 782138 861948 918162 1005606 1173207 1508409 1564276 1836324 2011212 2346414 3016818 3519621 4692828 6033636 7039242 10558863 14078484 21117726 42235452