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42204032 = 271321951
BaseRepresentation
bin1010000011111…
…1101110000000
32221102012001022
42200333232000
541301012112
64104325012
71021504553
oct240775600
987365038
1042204032
1121906572
1212173768
138988b00
14586869a
153a89d72
hex283fb80

42204032 has 48 divisors (see below), whose sum is σ = 91090080. Its totient is φ = 19468800.

The previous prime is 42204017. The next prime is 42204049. The reversal of 42204032 is 23040224.

It is a self number, because there is not a number n which added to its sum of digits gives 42204032.

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, 20657 + ... + 22607.

It is an arithmetic number, because the mean of its divisors is an integer number (1897710).

Almost surely, 242204032 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 42204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45545040).

42204032 is an abundant number, since it is smaller than the sum of its proper divisors (48886048).

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

42204032 is a wasteful number, since it uses less digits than its factorization.

42204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 42204032 is about 6496.4630376844. The cubic root of 42204032 is about 348.1646290249.

Adding to 42204032 its reverse (23040224), we get a palindrome (65244256).

The spelling of 42204032 in words is "forty-two million, two hundred four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 1951 2704 3902 5408 7804 10816 15608 21632 25363 31216 50726 62432 101452 124864 202904 249728 329719 405808 659438 811616 1318876 1623232 2637752 3246464 5275504 10551008 21102016 42204032