Search a number
-
+
442480376 = 23132925059
BaseRepresentation
bin11010010111111…
…011011011111000
31010211121022222002
4122113323123320
51401233333001
6111523520132
713652010152
oct3227733370
91124538862
10442480376
11207850068
12104229048
1370896110
1442aa1ad2
1528ca546b
hex1a5fb6f8

442480376 has 48 divisors (see below), whose sum is σ = 925524600. Its totient is φ = 197140608.

The previous prime is 442480333. The next prime is 442480393. The reversal of 442480376 is 673084244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84935 + ... + 89993.

Almost surely, 2442480376 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 442480376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462762300).

442480376 is an abundant number, since it is smaller than the sum of its proper divisors (483044224).

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

442480376 is a wasteful number, since it uses less digits than its factorization.

442480376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The square root of 442480376 is about 21035.2175172970. The cubic root of 442480376 is about 762.0170198020.

The spelling of 442480376 in words is "four hundred forty-two million, four hundred eighty thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 841 1508 1682 3016 3364 5059 6728 10118 10933 20236 21866 40472 43732 65767 87464 131534 146711 263068 293422 526136 586844 1173688 1907243 3814486 4254619 7628972 8509238 15257944 17018476 34036952 55310047 110620094 221240188 442480376