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42233040 = 2432558657
BaseRepresentation
bin1010000100011…
…0110011010000
32221110122211200
42201012303100
541302424130
64105111200
71021655253
oct241066320
987418750
1042233040
1121926343
1212188500
138999085
14587509a
153a93760
hex2846cd0

42233040 has 60 divisors (see below), whose sum is σ = 141835044. Its totient is φ = 11261952.

The previous prime is 42233017. The next prime is 42233041. The reversal of 42233040 is 4033224.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 12027024 = 5496^2 + 3468^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (42233041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28609 + ... + 30048.

Almost surely, 242233040 is an apocalyptic number.

42233040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42233040 is an abundant number, since it is smaller than the sum of its proper divisors (99602004).

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

42233040 is a wasteful number, since it uses less digits than its factorization.

42233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58676 (or 58667 counting only the distinct ones).

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

The square root of 42233040 is about 6498.6952536644. The cubic root of 42233040 is about 348.2443784869.

Adding to 42233040 its reverse (4033224), we get a palindrome (46266264).

The spelling of 42233040 in words is "forty-two million, two hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 58657 117314 175971 234628 293285 351942 469256 527913 586570 703884 879855 938512 1055826 1173140 1407768 1759710 2111652 2346280 2639565 2815536 3519420 4223304 4692560 5279130 7038840 8446608 10558260 14077680 21116520 42233040