Search a number
-
+
58992096 = 2531075743
BaseRepresentation
bin1110000100001…
…0010111100000
311010000002221110
43201002113200
5110100221341
65504223320
71314265422
oct341022740
9133002843
1058992096
11303326a9
121790ab40
13c2b6287
147b98812
1552a4216
hex38425e0

58992096 has 48 divisors (see below), whose sum is σ = 156328704. Its totient is φ = 19476864.

The previous prime is 58992083. The next prime is 58992113. The reversal of 58992096 is 69029985.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7401 + ... + 13143.

It is an arithmetic number, because the mean of its divisors is an integer number (3256848).

Almost surely, 258992096 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 58992096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78164352).

58992096 is an abundant number, since it is smaller than the sum of its proper divisors (97336608).

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

58992096 is a wasteful number, since it uses less digits than its factorization.

58992096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5863 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 58992096 is about 7680.6312240596. The cubic root of 58992096 is about 389.2822564925.

The spelling of 58992096 in words is "fifty-eight million, nine hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 5743 10272 11486 17229 22972 34458 45944 68916 91888 137832 183776 275664 551328 614501 1229002 1843503 2458004 3687006 4916008 7374012 9832016 14748024 19664032 29496048 58992096