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42417856 = 2613172999
BaseRepresentation
bin1010000111001…
…1111011000000
32221211001100201
42201303323000
541324332411
64113054544
71023355135
oct241637300
987731321
1042417856
1121a42188
1212257454
138a32230
1458c258c
153acd3c1
hex2873ec0

42417856 has 56 divisors (see below), whose sum is σ = 96012000. Its totient is φ = 18419712.

The previous prime is 42417847. The next prime is 42417857. The reversal of 42417856 is 65871424.

It is not an unprimeable number, because it can be changed into a prime (42417857) 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, 12645 + ... + 15643.

It is an arithmetic number, because the mean of its divisors is an integer number (1714500).

Almost surely, 242417856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42417856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48006000).

42417856 is an abundant number, since it is smaller than the sum of its proper divisors (53594144).

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

42417856 is a wasteful number, since it uses less digits than its factorization.

42417856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3031 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 42417856 is about 6512.8992008168. The cubic root of 42417856 is about 348.7516233443.

The spelling of 42417856 in words is "forty-two million, four hundred seventeen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 2999 3536 5998 7072 11996 14144 23992 38987 47984 50983 77974 95968 101966 155948 191936 203932 311896 407864 623792 662779 815728 1247584 1325558 1631456 2495168 2651116 3262912 5302232 10604464 21208928 42417856