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58690896 = 24311293833
BaseRepresentation
bin1101111111100…
…0110101010000
311002102210202220
43133320311100
5110011102041
65453541040
71311602325
oct337706520
9132383686
1058690896
1130147380
12177a4780
13c20c154
147b1ab4c
155244d66
hex37f8d50

58690896 has 80 divisors (see below), whose sum is σ = 171149760. Its totient is φ = 17167360.

The previous prime is 58690889. The next prime is 58690897. The reversal of 58690896 is 69809685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58690897) 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, 13396 + ... + 17228.

It is an arithmetic number, because the mean of its divisors is an integer number (2139372).

Almost surely, 258690896 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 58690896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85574880).

58690896 is an abundant number, since it is smaller than the sum of its proper divisors (112458864).

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

58690896 is a wasteful number, since it uses less digits than its factorization.

58690896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 58690896 is about 7660.9983683590. The cubic root of 58690896 is about 388.6185973181.

The spelling of 58690896 in words is "fifty-eight million, six hundred ninety thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 3828 3833 5104 7656 7666 11499 15312 15332 22998 30664 42163 45996 61328 84326 91992 111157 126489 168652 183984 222314 252978 333471 337304 444628 505956 666942 674608 889256 1011912 1222727 1333884 1778512 2023824 2445454 2667768 3668181 4890908 5335536 7336362 9781816 14672724 19563632 29345448 58690896