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42062304 = 253974517
BaseRepresentation
bin1010000001110…
…1000111100000
32221010222122010
42200131013200
541231443204
64101312520
71020344424
oct240350740
987128563
1042062304
112181a039
1212105740
13893944b
14582cb84
153a5cd89
hex281d1e0

42062304 has 48 divisors (see below), whose sum is σ = 111576528. Its totient is φ = 13873152.

The previous prime is 42062291. The next prime is 42062309. The reversal of 42062304 is 40326024.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42062309) 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, 7054 + ... + 11570.

It is an arithmetic number, because the mean of its divisors is an integer number (2324511).

Almost surely, 242062304 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 42062304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55788264).

42062304 is an abundant number, since it is smaller than the sum of its proper divisors (69514224).

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

42062304 is a wasteful number, since it uses less digits than its factorization.

42062304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4627 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 42062304 is about 6485.5457750293. The cubic root of 42062304 is about 347.7744608088.

Adding to 42062304 its reverse (40326024), we get a palindrome (82388328).

The spelling of 42062304 in words is "forty-two million, sixty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 4517 4656 9034 9312 13551 18068 27102 36136 54204 72272 108408 144544 216816 433632 438149 876298 1314447 1752596 2628894 3505192 5257788 7010384 10515576 14020768 21031152 42062304