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58401882 = 232711291453
BaseRepresentation
bin1101111011001…
…0010001011010
311001220010022200
43132302101122
5104422330012
65443431030
71306256610
oct336622132
9131803280
1058401882
112aa6a220
1217685476
13c13a736
147a836b0
1551d93dc
hex37b245a

58401882 has 96 divisors (see below), whose sum is σ = 163313280. Its totient is φ = 14636160.

The previous prime is 58401881. The next prime is 58401883. The reversal of 58401882 is 28810485.

It is an interprime number because it is at equal distance from previous prime (58401881) and next prime (58401883).

It is a super-2 number, since 2×584018822 = 6821559642283848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58401881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39468 + ... + 40920.

It is an arithmetic number, because the mean of its divisors is an integer number (1701180).

Almost surely, 258401882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58401882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81656640).

58401882 is an abundant number, since it is smaller than the sum of its proper divisors (104911398).

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

58401882 is a wasteful number, since it uses less digits than its factorization.

58401882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 58401882 is about 7642.1124043029. The cubic root of 58401882 is about 387.9796505075.

The spelling of 58401882 in words is "fifty-eight million, four hundred one thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 58 63 66 77 87 99 126 154 174 198 203 231 261 319 406 462 522 609 638 693 957 1218 1386 1453 1827 1914 2233 2871 2906 3654 4359 4466 5742 6699 8718 10171 13077 13398 15983 20097 20342 26154 30513 31966 40194 42137 47949 61026 84274 91539 95898 111881 126411 143847 183078 223762 252822 287694 294959 335643 379233 463507 589918 671286 758466 884877 927014 1006929 1390521 1769754 2013858 2654631 2781042 3244549 4171563 5309262 6489098 8343126 9733647 19467294 29200941 58401882