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58381880 = 2356171337
BaseRepresentation
bin1101111010110…
…1011000111000
311001212002212212
43132231120320
5104421210010
65443154252
71306144364
oct336553070
9131762785
1058381880
112aa56197
1217675988
13c1315bb
147a7a2a4
1551d3505
hex37ad638

58381880 has 64 divisors (see below), whose sum is σ = 135794880. Its totient is φ = 22579200.

The previous prime is 58381871. The next prime is 58381913. The reversal of 58381880 is 8818385.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173072 + ... + 173408.

It is an arithmetic number, because the mean of its divisors is an integer number (2121795).

Almost surely, 258381880 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 58381880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67897440).

58381880 is an abundant number, since it is smaller than the sum of its proper divisors (77413000).

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

58381880 is a wasteful number, since it uses less digits than its factorization.

58381880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 41.

The square root of 58381880 is about 7640.8036226565. The cubic root of 58381880 is about 387.9353525339.

The spelling of 58381880 in words is "fifty-eight million, three hundred eighty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 61 71 122 142 244 284 305 337 355 488 568 610 674 710 1220 1348 1420 1685 2440 2696 2840 3370 4331 6740 8662 13480 17324 20557 21655 23927 34648 41114 43310 47854 82228 86620 95708 102785 119635 164456 173240 191416 205570 239270 411140 478540 822280 957080 1459547 2919094 5838188 7297735 11676376 14595470 29190940 58381880