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42153342 = 23711233967
BaseRepresentation
bin1010000011001…
…1010101111110
32221022121111220
42200303111332
541242401332
64103254210
71021204020
oct240632576
987277456
1042153342
1121881480
121214a366
13896ba0a
145854010
153a79d2c
hex283357e

42153342 has 64 divisors (see below), whose sum is σ = 109707264. Its totient is φ = 10470240.

The previous prime is 42153329. The next prime is 42153359. The reversal of 42153342 is 24335124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8643 + ... + 12609.

It is an arithmetic number, because the mean of its divisors is an integer number (1714176).

Almost surely, 242153342 is an apocalyptic number.

42153342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42153342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54853632).

42153342 is an abundant number, since it is smaller than the sum of its proper divisors (67553922).

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

42153342 is a wasteful number, since it uses less digits than its factorization.

42153342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013.

The product of its digits is 2880, while the sum is 24.

The square root of 42153342 is about 6492.5605118474. The cubic root of 42153342 is about 348.0251831426.

Adding to 42153342 its reverse (24335124), we get a palindrome (66488466).

It can be divided in two parts, 4215 and 3342, that added together give a palindrome (7557).

The spelling of 42153342 in words is "forty-two million, one hundred fifty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 966 1518 1771 3542 3967 5313 7934 10626 11901 23802 27769 43637 55538 83307 87274 91241 130911 166614 182482 261822 273723 305459 547446 610918 638687 916377 1003651 1277374 1832754 1916061 2007302 3010953 3832122 6021906 7025557 14051114 21076671 42153342