Search a number
-
+
142426464 = 25310311439
BaseRepresentation
bin10000111110101…
…00000101100000
3100221000000101020
420133110011200
5242430121324
622044405440
73346414335
oct1037240540
9327000336
10142426464
117343a124
123b846880
132367991b
1414cb698c
15c785679
hex87d4160

142426464 has 48 divisors (see below), whose sum is σ = 374492160. Its totient is φ = 47396480.

The previous prime is 142426457. The next prime is 142426507. The reversal of 142426464 is 464624241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 98257 + ... + 99695.

It is an arithmetic number, because the mean of its divisors is an integer number (7801920).

Almost surely, 2142426464 is an apocalyptic number.

It is an amenable number.

142426464 is an abundant number, since it is smaller than the sum of its proper divisors (232065696).

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

142426464 is a wasteful number, since it uses less digits than its factorization.

142426464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2475 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 142426464 is about 11934.2559047475. The cubic root of 142426464 is about 522.2321012433.

It can be divided in two parts, 14242 and 6464, that added together give a triangular number (20706 = T203).

The spelling of 142426464 in words is "one hundred forty-two million, four hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1031 1439 2062 2878 3093 4124 4317 5756 6186 8248 8634 11512 12372 16496 17268 23024 24744 32992 34536 46048 49488 69072 98976 138144 1483609 2967218 4450827 5934436 8901654 11868872 17803308 23737744 35606616 47475488 71213232 142426464