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435432042 = 232297910559
BaseRepresentation
bin11001111101000…
…010101001101010
31010100100020110200
4121331002221222
51342432311132
6111112453030
713535053113
oct3175025152
91110306420
10435432042
112038765a1
121019aa176
136c298bc6
1441b8920a
1528361d7c
hex19f42a6a

435432042 has 48 divisors (see below), whose sum is σ = 988416000. Its totient is φ = 138352032.

The previous prime is 435432037. The next prime is 435432043. The reversal of 435432042 is 240234534.

It is a junction number, because it is equal to n+sod(n) for n = 435431997 and 435432015.

It is not an unprimeable number, because it can be changed into a prime (435432043) 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, 35959 + ... + 46517.

It is an arithmetic number, because the mean of its divisors is an integer number (20592000).

Almost surely, 2435432042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 435432042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494208000).

435432042 is an abundant number, since it is smaller than the sum of its proper divisors (552983958).

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

435432042 is a wasteful number, since it uses less digits than its factorization.

435432042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10675 (or 10672 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 435432042 is about 20867.0084583296. The cubic root of 435432042 is about 757.9492508775.

Adding to 435432042 its reverse (240234534), we get a palindrome (675666576).

The spelling of 435432042 in words is "four hundred thirty-five million, four hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 58 79 87 158 174 237 261 474 522 711 1422 2291 4582 6873 10559 13746 20619 21118 31677 41238 63354 95031 190062 306211 612422 834161 918633 1668322 1837266 2502483 2755899 5004966 5511798 7507449 15014898 24190669 48381338 72572007 145144014 217716021 435432042