Search a number
-
+
42100464 = 2437125299
BaseRepresentation
bin1010000010011…
…0011011110000
32221012220222110
42200212123300
541234203324
64102205320
71020563610
oct240463360
987186873
1042100464
112184577a
1212123840
138950923
14583ca40
153a69329
hex28266f0

42100464 has 40 divisors (see below), whose sum is σ = 124297600. Its totient is φ = 12028608.

The previous prime is 42100463. The next prime is 42100477. The reversal of 42100464 is 46400124.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 42100464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42100463) 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 7 ways as a sum of consecutive naturals, for example, 62314 + ... + 62985.

It is an arithmetic number, because the mean of its divisors is an integer number (3107440).

Almost surely, 242100464 is an apocalyptic number.

It is an amenable number.

42100464 is an abundant number, since it is smaller than the sum of its proper divisors (82197136).

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

42100464 is a wasteful number, since it uses less digits than its factorization.

42100464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125317 (or 125311 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42100464 is about 6488.4870347408. The cubic root of 42100464 is about 347.8795989879.

Adding to 42100464 its reverse (46400124), we get a palindrome (88500588).

The spelling of 42100464 in words is "forty-two million, one hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 125299 250598 375897 501196 751794 877093 1002392 1503588 1754186 2004784 2631279 3007176 3508372 5262558 6014352 7016744 10525116 14033488 21050232 42100464