Search a number
-
+
58903741 = 1337151811
BaseRepresentation
bin1110000010110…
…0110010111101
311002211121202001
43200230302331
5110034404431
65502302301
71313450011
oct340546275
9132747661
1058903741
1130282286
1217887991
13c284cb0
147b74541
155287e61
hex382ccbd

58903741 has 16 divisors (see below), whose sum is σ = 65661568. Its totient is φ = 52488000.

The previous prime is 58903729. The next prime is 58903753. The reversal of 58903741 is 14730985.

It is an interprime number because it is at equal distance from previous prime (58903729) and next prime (58903753).

It is a 3-Lehmer number, since φ(58903741) divides (58903741-1)3.

It is a cyclic number.

It is not a de Polignac number, because 58903741 - 211 = 58901693 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58903741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58903241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72226 + ... + 73036.

It is an arithmetic number, because the mean of its divisors is an integer number (4103848).

It is a Poulet number, since it divides 258903740-1.

Almost surely, 258903741 is an apocalyptic number.

It is an amenable number.

58903741 is a deficient number, since it is larger than the sum of its proper divisors (6757827).

58903741 is a wasteful number, since it uses less digits than its factorization.

58903741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 58903741 is about 7674.8772628623. The cubic root of 58903741 is about 389.0878111230.

The spelling of 58903741 in words is "fifty-eight million, nine hundred three thousand, seven hundred forty-one".

Divisors: 1 13 37 151 481 811 1963 5587 10543 30007 72631 122461 390091 1591993 4531057 58903741