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58403280 = 24351318719
BaseRepresentation
bin1101111011001…
…0100111010000
311001220012020110
43132302213100
5104422401110
65443441320
71306263645
oct336624720
9131805213
1058403280
112aa70281
1217686240
13c13b270
147a83dcc
1551d9a20
hex37b29d0

58403280 has 80 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 14375424.

The previous prime is 58403231. The next prime is 58403341. The reversal of 58403280 is 8230485.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×584032802 = 6821886229516800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6240 + ... + 12479.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 258403280 is an apocalyptic number.

58403280 is the 6240-th pentagonal number.

It is an amenable number.

58403280 is an abundant number, since it is smaller than the sum of its proper divisors (136584240).

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

58403280 is a wasteful number, since it uses less digits than its factorization.

58403280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18748 (or 18742 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 58403280 is about 7642.2038706122. The cubic root of 58403280 is about 387.9827462480.

The spelling of 58403280 in words is "fifty-eight million, four hundred three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 18719 37438 56157 74876 93595 112314 149752 187190 224628 243347 280785 299504 374380 449256 486694 561570 730041 748760 898512 973388 1123140 1216735 1460082 1497520 1946776 2246280 2433470 2920164 3650205 3893552 4492560 4866940 5840328 7300410 9733880 11680656 14600820 19467760 29201640 58403280