Search a number
-
+
58490376 = 2337536569
BaseRepresentation
bin1101111100011…
…1111000001000
311002001121201020
43133013320020
5104433143001
65445352440
71310105610
oct337077010
9132047636
1058490376
113001a75a
1217708720
13c16bab9
147aa7a40
155205736
hex37c7e08

58490376 has 64 divisors (see below), whose sum is σ = 170294400. Its totient is φ = 16393728.

The previous prime is 58490371. The next prime is 58490389. The reversal of 58490376 is 67309485.

It is a happy number.

It is a super-2 number, since 2×584903762 = 6842248169242752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (58490371) 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, 5620 + ... + 12188.

It is an arithmetic number, because the mean of its divisors is an integer number (2660850).

Almost surely, 258490376 is an apocalyptic number.

58490376 is a gapful number since it is divisible by the number (56) 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 58490376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85147200).

58490376 is an abundant number, since it is smaller than the sum of its proper divisors (111804024).

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

58490376 is a wasteful number, since it uses less digits than its factorization.

58490376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638 (or 6634 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 58490376 is about 7647.9001039501. The cubic root of 58490376 is about 388.1755148816.

The spelling of 58490376 in words is "fifty-eight million, four hundred ninety thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 4452 6569 8904 13138 19707 26276 39414 45983 52552 78828 91966 137949 157656 183932 275898 348157 367864 551796 696314 1044471 1103592 1392628 2088942 2437099 2785256 4177884 4874198 7311297 8355768 9748396 14622594 19496792 29245188 58490376