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42417504 = 2532147283
BaseRepresentation
bin1010000111001…
…1110101100000
32221211000212200
42201303311200
541324330004
64113053200
71023354123
oct241636540
987730780
1042417504
1121a41998
1212257200
138a3201c
1458c23ba
153acd239
hex2873d60

42417504 has 36 divisors (see below), whose sum is σ = 120625596. Its totient is φ = 14139072.

The previous prime is 42417491. The next prime is 42417523. The reversal of 42417504 is 40571424.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73354 + ... + 73929.

It is an arithmetic number, because the mean of its divisors is an integer number (3350711).

Almost surely, 242417504 is an apocalyptic number.

It is an amenable number.

42417504 is an abundant number, since it is smaller than the sum of its proper divisors (78208092).

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

42417504 is a wasteful number, since it uses less digits than its factorization.

42417504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147299 (or 147288 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 42417504 is about 6512.8721774652. The cubic root of 42417504 is about 348.7506586491.

Adding to 42417504 its reverse (40571424), we get a palindrome (82988928).

The spelling of 42417504 in words is "forty-two million, four hundred seventeen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 147283 294566 441849 589132 883698 1178264 1325547 1767396 2356528 2651094 3534792 4713056 5302188 7069584 10604376 14139168 21208752 42417504