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423983952 = 243274110259
BaseRepresentation
bin11001010001010…
…111101101010000
31002112210121122100
4121101113231100
51332014441302
6110023240400
713335542550
oct3121275520
91075717570
10423983952
111a8367467
12b9ba9100
1369abb1a2
1440449160
152734ed1c
hex19457b50

423983952 has 120 divisors (see below), whose sum is σ = 1389286080. Its totient is φ = 118172160.

The previous prime is 423983933. The next prime is 423983953. The reversal of 423983952 is 259389324.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 423983898 and 423983907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423983953) 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, 36199 + ... + 46457.

It is an arithmetic number, because the mean of its divisors is an integer number (11577384).

Almost surely, 2423983952 is an apocalyptic number.

423983952 is a gapful number since it is divisible by the number (42) 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 423983952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694643040).

423983952 is an abundant number, since it is smaller than the sum of its proper divisors (965302128).

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

423983952 is a wasteful number, since it uses less digits than its factorization.

423983952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10321 (or 10312 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 423983952 is about 20590.8705983987. The cubic root of 423983952 is about 751.2476725998.

The spelling of 423983952 in words is "four hundred twenty-three million, nine hundred eighty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 56 63 72 82 84 112 123 126 144 164 168 246 252 287 328 336 369 492 504 574 656 738 861 984 1008 1148 1476 1722 1968 2296 2583 2952 3444 4592 5166 5904 6888 10259 10332 13776 20518 20664 30777 41036 41328 61554 71813 82072 92331 123108 143626 164144 184662 215439 246216 287252 369324 420619 430878 492432 574504 646317 738648 841238 861756 1149008 1261857 1292634 1477296 1682476 1723512 2523714 2585268 2944333 3364952 3447024 3785571 5047428 5170536 5888666 6729904 7571142 8832999 10094856 10341072 11777332 15142284 17665998 20189712 23554664 26498997 30284568 35331996 47109328 52997994 60569136 70663992 105995988 141327984 211991976 423983952