Search a number
-
+
42938688 = 2631317203
BaseRepresentation
bin1010001111001…
…1000101000000
32222210111210210
42203303011000
541443014223
64132154120
71030654452
oct243630500
988714723
1042938688
1122268521
1212468940
138b85310
1459ba2d2
153b82893
hex28f3140

42938688 has 56 divisors (see below), whose sum is σ = 122354848. Its totient is φ = 13211136.

The previous prime is 42938681. The next prime is 42938737. The reversal of 42938688 is 88683924.

It is a happy number.

It is a super-2 number, since 2×429386882 = 3687461854322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42938681) 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, 6106 + ... + 11097.

It is an arithmetic number, because the mean of its divisors is an integer number (2184908).

Almost surely, 242938688 is an apocalyptic number.

42938688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42938688 is an abundant number, since it is smaller than the sum of its proper divisors (79416160).

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

42938688 is a wasteful number, since it uses less digits than its factorization.

42938688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17231 (or 17221 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 42938688 is about 6552.7618604677. The cubic root of 42938688 is about 350.1732149421.

The spelling of 42938688 in words is "forty-two million, nine hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 17203 34406 51609 68812 103218 137624 206436 223639 275248 412872 447278 550496 670917 825744 894556 1100992 1341834 1651488 1789112 2683668 3302976 3578224 5367336 7156448 10734672 14312896 21469344 42938688