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423472600 = 235241431201
BaseRepresentation
bin11001001111011…
…010110111011000
31002111211122012101
4121033122313120
51331402110400
6110004253144
713331312665
oct3117326730
91074748171
10423472600
111a8048261
12b99a11b4
136996c505
1440354a6c
152729d56a
hex193dadd8

423472600 has 96 divisors (see below), whose sum is σ = 1032902640. Its totient is φ = 161280000.

The previous prime is 423472549. The next prime is 423472603. The reversal of 423472600 is 6274324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423472603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352000 + ... + 353200.

Almost surely, 2423472600 is an apocalyptic number.

423472600 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 423472600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516451320).

423472600 is an abundant number, since it is smaller than the sum of its proper divisors (609430040).

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

423472600 is a wasteful number, since it uses less digits than its factorization.

423472600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 423472600 is about 20578.4498930313. The cubic root of 423472600 is about 750.9455333805.

The spelling of 423472600 in words is "four hundred twenty-three million, four hundred seventy-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 43 50 82 86 100 164 172 200 205 215 328 344 410 430 820 860 1025 1075 1201 1640 1720 1763 2050 2150 2402 3526 4100 4300 4804 6005 7052 8200 8600 8815 9608 12010 14104 17630 24020 30025 35260 44075 48040 49241 51643 60050 70520 88150 98482 103286 120100 176300 196964 206572 240200 246205 258215 352600 393928 413144 492410 516430 984820 1032860 1231025 1291075 1969640 2065720 2117363 2462050 2582150 4234726 4924100 5164300 8469452 9848200 10328600 10586815 16938904 21173630 42347260 52934075 84694520 105868150 211736300 423472600