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423392000 = 2853101131
BaseRepresentation
bin11001001111000…
…111001100000000
31002111200112122012
4121033013030000
51331342021000
6110002432052
713330526003
oct3117071400
91074615565
10423392000
111a7aa2749
12b9962628
1369941915
144033353a
1527284735
hex193c7300

423392000 has 144 divisors (see below), whose sum is σ = 1073296224. Its totient is φ = 166400000.

The previous prime is 423391963. The next prime is 423392009. The reversal of 423392000 is 293324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423392009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3231935 + ... + 3232065.

It is an arithmetic number, because the mean of its divisors is an integer number (7453446).

Almost surely, 2423392000 is an apocalyptic number.

423392000 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 423392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536648112).

423392000 is an abundant number, since it is smaller than the sum of its proper divisors (649904224).

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

423392000 is a wasteful number, since it uses less digits than its factorization.

423392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 423392000 is about 20576.4914404764. The cubic root of 423392000 is about 750.8978875978.

The spelling of 423392000 in words is "four hundred twenty-three million, three hundred ninety-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 128 131 160 200 202 250 256 262 320 400 404 500 505 524 640 655 800 808 1000 1010 1048 1280 1310 1600 1616 2000 2020 2096 2525 2620 3200 3232 3275 4000 4040 4192 5050 5240 6400 6464 6550 8000 8080 8384 10100 10480 12625 12928 13100 13231 16000 16160 16375 16768 20200 20960 25250 25856 26200 26462 32000 32320 32750 33536 40400 41920 50500 52400 52924 64640 65500 66155 80800 83840 101000 104800 105848 129280 131000 132310 161600 167680 202000 209600 211696 262000 264620 323200 330775 404000 419200 423392 524000 529240 646400 661550 808000 838400 846784 1048000 1058480 1323100 1616000 1653875 1693568 2096000 2116960 2646200 3232000 3307750 3387136 4192000 4233920 5292400 6615500 8467840 10584800 13231000 16935680 21169600 26462000 42339200 52924000 84678400 105848000 211696000 423392000