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42233800 = 2352797311
BaseRepresentation
bin1010000100011…
…0111111001000
32221110200212211
42201012333020
541302440200
64105114504
71021660420
oct241067710
987420784
1042233800
1121926974
1212188a34
13899951b
145875480
153a93aba
hex2846fc8

42233800 has 96 divisors (see below), whose sum is σ = 113742720. Its totient is φ = 14284800.

The previous prime is 42233791. The next prime is 42233801. The reversal of 42233800 is 833224.

It is not an unprimeable number, because it can be changed into a prime (42233801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135645 + ... + 135955.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 242233800 is an apocalyptic number.

42233800 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 42233800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871360).

42233800 is an abundant number, since it is smaller than the sum of its proper divisors (71508920).

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

42233800 is a wasteful number, since it uses less digits than its factorization.

42233800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 42233800 is about 6498.7537266771. The cubic root of 42233800 is about 348.2464674055.

The spelling of 42233800 in words is "forty-two million, two hundred thirty-three thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 97 100 140 175 194 200 280 311 350 388 485 622 679 700 776 970 1244 1358 1400 1555 1940 2177 2425 2488 2716 3110 3395 3880 4354 4850 5432 6220 6790 7775 8708 9700 10885 12440 13580 15550 16975 17416 19400 21770 27160 30167 31100 33950 43540 54425 60334 62200 67900 87080 108850 120668 135800 150835 211169 217700 241336 301670 422338 435400 603340 754175 844676 1055845 1206680 1508350 1689352 2111690 3016700 4223380 5279225 6033400 8446760 10558450 21116900 42233800