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58418430 = 23571491867
BaseRepresentation
bin1101111011011…
…0010011111110
311001220222000120
43132312103332
5104423342210
65444035410
71306356060
oct336662376
9131828016
1058418430
112aa806a4
1217692b66
13c145125
147a89730
1551de270
hex37b64fe

58418430 has 64 divisors (see below), whose sum is σ = 161395200. Its totient is φ = 13256064.

The previous prime is 58418417. The next prime is 58418473. The reversal of 58418430 is 3481485.

It is a junction number, because it is equal to n+sod(n) for n = 58418391 and 58418400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30357 + ... + 32223.

It is an arithmetic number, because the mean of its divisors is an integer number (2521800).

Almost surely, 258418430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58418430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80697600).

58418430 is an abundant number, since it is smaller than the sum of its proper divisors (102976770).

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

58418430 is a wasteful number, since it uses less digits than its factorization.

58418430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 58418430 is about 7643.1950125586. The cubic root of 58418430 is about 388.0162913413.

The spelling of 58418430 in words is "fifty-eight million, four hundred eighteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 149 210 298 447 745 894 1043 1490 1867 2086 2235 3129 3734 4470 5215 5601 6258 9335 10430 11202 13069 15645 18670 26138 28005 31290 39207 56010 65345 78414 130690 196035 278183 392070 556366 834549 1390915 1669098 1947281 2781830 3894562 4172745 5841843 8345490 9736405 11683686 19472810 29209215 58418430