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424102032 = 243229412477
BaseRepresentation
bin11001010001110…
…100100010010000
31002120000121121200
4121101310202100
51332032231112
6110025551200
713336544034
oct3121644220
91076017550
10424102032
111a8438152
12ba045500
1369b2cb63
144047a1c4
1527374cdc
hex19474890

424102032 has 120 divisors (see below), whose sum is σ = 1258278840. Its totient is φ = 133109760.

The previous prime is 424102013. The next prime is 424102033. The reversal of 424102032 is 230201424.

It can be written as a sum of positive squares in 4 ways, for example, as 6471936 + 417630096 = 2544^2 + 20436^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 424101996 and 424102014.

It is not an unprimeable number, because it can be changed into a prime (424102033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169978 + ... + 172454.

It is an arithmetic number, because the mean of its divisors is an integer number (10485657).

Almost surely, 2424102032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629139420).

424102032 is an abundant number, since it is smaller than the sum of its proper divisors (834176808).

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

424102032 is a wasteful number, since it uses less digits than its factorization.

424102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 424102032 is about 20593.7376889189. The cubic root of 424102032 is about 751.3174072293.

Adding to 424102032 its reverse (230201424), we get a palindrome (654303456).

The spelling of 424102032 in words is "four hundred twenty-four million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 41 48 58 72 82 87 116 123 144 164 174 232 246 261 328 348 369 464 492 522 656 696 738 984 1044 1189 1392 1476 1968 2088 2378 2477 2952 3567 4176 4756 4954 5904 7134 7431 9512 9908 10701 14268 14862 19024 19816 21402 22293 28536 29724 39632 42804 44586 57072 59448 71833 85608 89172 101557 118896 143666 171216 178344 203114 215499 287332 304671 356688 406228 430998 574664 609342 646497 812456 861996 914013 1149328 1218684 1292994 1624912 1723992 1828026 2437368 2585988 2945153 3447984 3656052 4874736 5171976 5890306 7312104 8835459 10343952 11780612 14624208 17670918 23561224 26506377 35341836 47122448 53012754 70683672 106025508 141367344 212051016 424102032