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42355008 = 2633127193
BaseRepresentation
bin1010000110010…
…0100101000000
32221200212011000
42201210211000
541320330013
64111452000
71023003663
oct241444500
987625130
1042355008
11219a9a43
1212227000
138a0c747
1458a76da
153ab9973
hex2864940

42355008 has 112 divisors (see below), whose sum is σ = 126146560. Its totient is φ = 13934592.

The previous prime is 42354997. The next prime is 42355013. The reversal of 42355008 is 80055324.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219360 + ... + 219552.

Almost surely, 242355008 is an apocalyptic number.

42355008 is a gapful number since it is divisible by the number (48) 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 42355008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63073280).

42355008 is an abundant number, since it is smaller than the sum of its proper divisors (83791552).

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

42355008 is a wasteful number, since it uses less digits than its factorization.

42355008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42355008 is about 6508.0725257176. The cubic root of 42355008 is about 348.5792967344.

The spelling of 42355008 in words is "forty-two million, three hundred fifty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 144 192 193 216 254 288 381 386 432 508 576 579 762 772 864 1016 1143 1158 1524 1544 1728 1737 2032 2286 2316 3048 3088 3429 3474 4064 4572 4632 5211 6096 6176 6858 6948 8128 9144 9264 10422 12192 12352 13716 13896 18288 18528 20844 24384 24511 27432 27792 36576 37056 41688 49022 54864 55584 73152 73533 83376 98044 109728 111168 147066 166752 196088 219456 220599 294132 333504 392176 441198 588264 661797 784352 882396 1176528 1323594 1568704 1764792 2353056 2647188 3529584 4706112 5294376 7059168 10588752 14118336 21177504 42355008