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42133040 = 2452831861
BaseRepresentation
bin1010000010111…
…0011000110000
32221021120122222
42200232120300
541241224130
64103020212
71021060565
oct240563060
987246588
1042133040
11218681a4
121213a668
1389626c1
14584a86c
153a73ce5
hex282e630

42133040 has 40 divisors (see below), whose sum is σ = 98358288. Its totient is φ = 16784640.

The previous prime is 42133001. The next prime is 42133043. The reversal of 42133040 is 4033124.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (42133043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21710 + ... + 23570.

Almost surely, 242133040 is an apocalyptic number.

42133040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42133040 is an abundant number, since it is smaller than the sum of its proper divisors (56225248).

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

42133040 is a wasteful number, since it uses less digits than its factorization.

42133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 42133040 is about 6490.9968417802. The cubic root of 42133040 is about 347.9693019118.

Adding to 42133040 its reverse (4033124), we get a palindrome (46166164).

The spelling of 42133040 in words is "forty-two million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 283 566 1132 1415 1861 2264 2830 3722 4528 5660 7444 9305 11320 14888 18610 22640 29776 37220 74440 148880 526663 1053326 2106652 2633315 4213304 5266630 8426608 10533260 21066520 42133040