Search a number
-
+
42376640 = 265151877
BaseRepresentation
bin1010000110100…
…1110111000000
32221201221211012
42201221313000
541322023030
64112140052
71023124025
oct241516700
987657735
1042376640
1121a14219
1212237628
138a19547
1458b154c
153ac1095
hex2869dc0

42376640 has 56 divisors (see below), whose sum is σ = 101693472. Its totient is φ = 16819200.

The previous prime is 42376613. The next prime is 42376667. The reversal of 42376640 is 4667324.

It is an interprime number because it is at equal distance from previous prime (42376613) and next prime (42376667).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42376597 and 42376606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47882 + ... + 48758.

Almost surely, 242376640 is an apocalyptic number.

42376640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50846736).

42376640 is an abundant number, since it is smaller than the sum of its proper divisors (59316832).

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

42376640 is a wasteful number, since it uses less digits than its factorization.

42376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 42376640 is about 6509.7342495681. The cubic root of 42376640 is about 348.6386300093.

The spelling of 42376640 in words is "forty-two million, three hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 151 160 302 320 604 755 877 1208 1510 1754 2416 3020 3508 4385 4832 6040 7016 8770 9664 12080 14032 17540 24160 28064 35080 48320 56128 70160 132427 140320 264854 280640 529708 662135 1059416 1324270 2118832 2648540 4237664 5297080 8475328 10594160 21188320 42376640