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58893345 = 3357229307
BaseRepresentation
bin1110000010101…
…0010000100001
311002211002111000
43200222100201
5110034041340
65502142213
71313404500
oct340522041
9132732430
1058893345
1130275495
1217881969
13c280344
147b70837
155284d30
hex382a421

58893345 has 96 divisors (see below), whose sum is σ = 126403200. Its totient is φ = 25909632.

The previous prime is 58893323. The next prime is 58893361. The reversal of 58893345 is 54339885.

It is a happy number.

It is not a de Polignac number, because 58893345 - 28 = 58893089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 58893345.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191682 + ... + 191988.

It is an arithmetic number, because the mean of its divisors is an integer number (1316700).

Almost surely, 258893345 is an apocalyptic number.

It is an amenable number.

58893345 is an abundant number, since it is smaller than the sum of its proper divisors (67509855).

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

58893345 is a wasteful number, since it uses less digits than its factorization.

58893345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 351 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 58893345 is about 7674.1999583018. The cubic root of 58893345 is about 389.0649195669.

The spelling of 58893345 in words is "fifty-eight million, eight hundred ninety-three thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 49 63 87 105 135 145 147 189 203 245 261 307 315 435 441 609 735 783 921 945 1015 1305 1323 1421 1535 1827 2149 2205 2763 3045 3915 4263 4605 5481 6447 6615 7105 8289 8903 9135 10745 12789 13815 15043 19341 21315 26709 27405 32235 38367 41445 44515 45129 58023 62321 63945 75215 80127 96705 133545 135387 186963 191835 225645 240381 290115 311605 400635 406161 436247 560889 676935 934815 1201905 1308741 1682667 2030805 2181235 2804445 3926223 6543705 8413335 11778669 19631115 58893345