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58257420 = 223513193931
BaseRepresentation
bin1101111000111…
…1000000001100
311001121210011020
43132033000030
5104403214140
65440354140
71305115464
oct336170014
9131553136
1058257420
112a980731
1217615950
13c0b9a60
147a46ba4
1551ab6d0
hex378f00c

58257420 has 96 divisors (see below), whose sum is σ = 184961280. Its totient is φ = 13582080.

The previous prime is 58257391. The next prime is 58257427. The reversal of 58257420 is 2475285.

It is not an unprimeable number, because it can be changed into a prime (58257427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12855 + ... + 16785.

It is an arithmetic number, because the mean of its divisors is an integer number (1926680).

Almost surely, 258257420 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 58257420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92480640).

58257420 is an abundant number, since it is smaller than the sum of its proper divisors (126703860).

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

58257420 is a wasteful number, since it uses less digits than its factorization.

58257420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 58257420 is about 7632.6548461201. The cubic root of 58257420 is about 387.6594862058.

The spelling of 58257420 in words is "fifty-eight million, two hundred fifty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 3931 4940 7410 7862 11793 14820 15724 19655 23586 39310 47172 51103 58965 74689 78620 102206 117930 149378 153309 204412 224067 235860 255515 298756 306618 373445 448134 511030 613236 746890 766545 896268 970957 1022060 1120335 1493780 1533090 1941914 2240670 2912871 3066180 3883828 4481340 4854785 5825742 9709570 11651484 14564355 19419140 29128710 58257420