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42350040 = 233554357
BaseRepresentation
bin1010000110001…
…1010111011000
32221200121100000
42201203113120
541320200130
64111413000
71022653335
oct241432730
987617300
1042350040
11219a6237
1212224160
138a0a3c5
1458a598c
153ab8260
hex28635d8

42350040 has 96 divisors (see below), whose sum is σ = 142768080. Its totient is φ = 11290752.

The previous prime is 42350039. The next prime is 42350051. The reversal of 42350040 is 4005324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42349995 and 42350022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7542 + ... + 11898.

Almost surely, 242350040 is an apocalyptic number.

42350040 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 42350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71384040).

42350040 is an abundant number, since it is smaller than the sum of its proper divisors (100418040).

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

42350040 is a wasteful number, since it uses less digits than its factorization.

42350040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4383 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42350040 is about 6507.6908346971. The cubic root of 42350040 is about 348.5656674161.

Adding to 42350040 its reverse (4005324), we get a palindrome (46355364).

The spelling of 42350040 in words is "forty-two million, three hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4357 4860 8714 9720 13071 17428 21785 26142 34856 39213 43570 52284 65355 78426 87140 104568 117639 130710 156852 174280 196065 235278 261420 313704 352917 392130 470556 522840 588195 705834 784260 941112 1058751 1176390 1411668 1568520 1764585 2117502 2352780 2823336 3529170 4235004 4705560 5293755 7058340 8470008 10587510 14116680 21175020 42350040