Search a number
-
+
58490816 = 2619103467
BaseRepresentation
bin1101111100011…
…1111111000000
311002001122022112
43133013333000
5104433201231
65445354452
71310110106
oct337077700
9132048275
1058490816
113002001a
1217708a28
13c16c067
147aa7c76
15520592b
hex37c7fc0

58490816 has 56 divisors (see below), whose sum is σ = 123626880. Its totient is φ = 27378432.

The previous prime is 58490813. The next prime is 58490819. The reversal of 58490816 is 61809485.

It is an interprime number because it is at equal distance from previous prime (58490813) and next prime (58490819).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58490813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125015 + ... + 125481.

Almost surely, 258490816 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 58490816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61813440).

58490816 is an abundant number, since it is smaller than the sum of its proper divisors (65136064).

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

58490816 is a wasteful number, since it uses less digits than its factorization.

58490816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 58490816 is about 7647.9288699621. The cubic root of 58490816 is about 388.1764882429.

The spelling of 58490816 in words is "fifty-eight million, four hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 103 152 206 304 412 467 608 824 934 1216 1648 1868 1957 3296 3736 3914 6592 7472 7828 8873 14944 15656 17746 29888 31312 35492 48101 62624 70984 96202 125248 141968 192404 283936 384808 567872 769616 913919 1539232 1827838 3078464 3655676 7311352 14622704 29245408 58490816