Search a number
-
+
58142448 = 24347131729
BaseRepresentation
bin1101110111001…
…0111011110000
311001101221110000
43131302323300
5104341024243
65434110000
71304126340
oct335627360
9131357400
1058142448
112a902311
121757b300
13c079620
147a16d20
1551875d3
hex3772ef0

58142448 has 400 divisors, whose sum is σ = 226860480. Its totient is φ = 13934592.

The previous prime is 58142417. The next prime is 58142471. The reversal of 58142448 is 84424185.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2004898 + ... + 2004926.

Almost surely, 258142448 is an apocalyptic number.

58142448 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58142448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430240).

58142448 is an abundant number, since it is smaller than the sum of its proper divisors (168718032).

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

58142448 is a wasteful number, since it uses less digits than its factorization.

58142448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 58142448 is about 7625.1195400466. The cubic root of 58142448 is about 387.4043007518.

The spelling of 58142448 in words is "fifty-eight million, one hundred forty-two thousand, four hundred forty-eight".