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42413004 = 2233499787
BaseRepresentation
bin1010000111001…
…0101111001100
32221210210201000
42201302233030
541324204004
64113020300
71023335034
oct241625714
987723630
1042413004
1121a39577
1212254690
138a2cc6a
1458c08c4
153acbc39
hex2872bcc

42413004 has 48 divisors (see below), whose sum is σ = 110320000. Its totient is φ = 14091408.

The previous prime is 42412987. The next prime is 42413009. The reversal of 42413004 is 40031424.

42413004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42413009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53499 + ... + 54285.

Almost surely, 242413004 is an apocalyptic number.

It is an amenable number.

42413004 is an abundant number, since it is smaller than the sum of its proper divisors (67906996).

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

42413004 is a wasteful number, since it uses less digits than its factorization.

42413004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42413004 is about 6512.5266986017. The cubic root of 42413004 is about 348.7383254272.

Adding to 42413004 its reverse (40031424), we get a palindrome (82444428).

The spelling of 42413004 in words is "forty-two million, four hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 499 787 998 1497 1574 1996 2361 2994 3148 4491 4722 5988 7083 8982 9444 13473 14166 17964 21249 26946 28332 42498 53892 84996 392713 785426 1178139 1570852 2356278 3534417 4712556 7068834 10603251 14137668 21206502 42413004