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42733032 = 2337324391
BaseRepresentation
bin1010001100000…
…0110111101000
32222102001200220
42203000313220
541414424112
64123530040
71026140046
oct243006750
988361626
1042733032
1122137a61
1212389920
138b12824
145965396
153b4198c
hex28c0de8

42733032 has 32 divisors (see below), whose sum is σ = 108300480. Its totient is φ = 14048640.

The previous prime is 42732971. The next prime is 42733063. The reversal of 42733032 is 23033724.

It is a happy number.

It is a super-2 number, since 2×427330322 = 3652224047826048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42732993 and 42733011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10444 + ... + 13947.

It is an arithmetic number, because the mean of its divisors is an integer number (3384390).

Almost surely, 242733032 is an apocalyptic number.

It is an amenable number.

42733032 is an abundant number, since it is smaller than the sum of its proper divisors (65567448).

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

42733032 is a wasteful number, since it uses less digits than its factorization.

42733032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24473 (or 24469 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 24.

The square root of 42733032 is about 6537.0507111388. The cubic root of 42733032 is about 349.6132653496.

Adding to 42733032 its reverse (23033724), we get a palindrome (65766756).

The spelling of 42733032 in words is "forty-two million, seven hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1752 24391 48782 73173 97564 146346 195128 292692 585384 1780543 3561086 5341629 7122172 10683258 14244344 21366516 42733032