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42203104 = 2519411693
BaseRepresentation
bin1010000011111…
…1011111100000
32221102010202221
42200333133200
541300444404
64104320424
71021502056
oct240773740
987363687
1042203104
11219058a9
1212173114
138988568
1458681d6
153a89954
hex283f7e0

42203104 has 48 divisors (see below), whose sum is σ = 89646480. Its totient is φ = 19491840.

The previous prime is 42203087. The next prime is 42203107. The reversal of 42203104 is 40130224.

It is a super-2 number, since 2×422031042 = 3562203974469632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42203107) 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, 24082 + ... + 25774.

It is an arithmetic number, because the mean of its divisors is an integer number (1867635).

Almost surely, 242203104 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 42203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44823240).

42203104 is an abundant number, since it is smaller than the sum of its proper divisors (47443376).

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

42203104 is a wasteful number, since it uses less digits than its factorization.

42203104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42203104 is about 6496.3916138115. The cubic root of 42203104 is about 348.1620771428.

Adding to 42203104 its reverse (40130224), we get a palindrome (82333328).

The spelling of 42203104 in words is "forty-two million, two hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 41 76 82 152 164 304 328 608 656 779 1312 1558 1693 3116 3386 6232 6772 12464 13544 24928 27088 32167 54176 64334 69413 128668 138826 257336 277652 514672 555304 1029344 1110608 1318847 2221216 2637694 5275388 10550776 21101552 42203104