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423948100 = 2252292712
BaseRepresentation
bin11001010001001…
…110111101000100
31002112201210110111
4121101032331010
51332012314400
6110022402404
713335333202
oct3121167504
91075653414
10423948100
111a8342534
12b9b90404
1369aa7a84
144043a072
15273443ba
hex1944ef44

423948100 has 81 divisors (see below), whose sum is σ = 966392791. Its totient is φ = 161425600.

The previous prime is 423948097. The next prime is 423948101. The reversal of 423948100 is 1849324.

The square root of 423948100 is 20590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5827396 + 418120704 = 2414^2 + 20448^2 .

It is a super-2 number, since 2×4239481002 = 359463982987220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (423948101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5971065 + ... + 5971135.

Almost surely, 2423948100 is an apocalyptic number.

423948100 is the 20590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423948100

423948100 is an abundant number, since it is smaller than the sum of its proper divisors (542444691).

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

423948100 is a wasteful number, since it uses less digits than its factorization.

423948100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 423948100 is about 751.2264968842.

The spelling of 423948100 in words is "four hundred twenty-three million, nine hundred forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 71 100 116 142 145 284 290 355 580 710 725 841 1420 1450 1682 1775 2059 2900 3364 3550 4118 4205 5041 7100 8236 8410 10082 10295 16820 20164 20590 21025 25205 41180 42050 50410 51475 59711 84100 100820 102950 119422 126025 146189 205900 238844 252050 292378 298555 504100 584756 597110 730945 1194220 1461890 1492775 2923780 2985550 3654725 4239481 5971100 7309450 8478962 14618900 16957924 21197405 42394810 84789620 105987025 211974050 423948100