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58688430 = 23547107389
BaseRepresentation
bin1101111111100…
…0001110101110
311002102200101120
43133320032232
5110011012210
65453521410
71311562203
oct337701656
9132380346
1058688430
1130145539
12177a3266
13c20aca8
147b19caa
155244270
hex37f83ae

58688430 has 64 divisors (see below), whose sum is σ = 145566720. Its totient is φ = 15135104.

The previous prime is 58688419. The next prime is 58688447. The reversal of 58688430 is 3488685.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150676 + ... + 151064.

It is an arithmetic number, because the mean of its divisors is an integer number (2274480).

Almost surely, 258688430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58688430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72783360).

58688430 is an abundant number, since it is smaller than the sum of its proper divisors (86878290).

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

58688430 is a wasteful number, since it uses less digits than its factorization.

58688430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553.

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 58688430 is about 7660.8374215878. The cubic root of 58688430 is about 388.6131544133.

The spelling of 58688430 in words is "fifty-eight million, six hundred eighty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 107 141 214 235 282 321 389 470 535 642 705 778 1070 1167 1410 1605 1945 2334 3210 3890 5029 5835 10058 11670 15087 18283 25145 30174 36566 41623 50290 54849 75435 83246 91415 109698 124869 150870 182830 208115 249738 274245 416230 548490 624345 1248690 1956281 3912562 5868843 9781405 11737686 19562810 29344215 58688430