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58985280 = 263356827
BaseRepresentation
bin1110000100000…
…0101101000000
311002222202121000
43201000231000
5110100012110
65504132000
71314236514
oct341005500
9132882530
1058985280
1130328572
1217907000
13c2b3143
147b96144
1552a21c0
hex3840b40

58985280 has 112 divisors (see below), whose sum is σ = 208117440. Its totient is φ = 15727104.

The previous prime is 58985263. The next prime is 58985287. The reversal of 58985280 is 8258985.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58985287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5227 + ... + 12053.

Almost surely, 258985280 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 58985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104058720).

58985280 is an abundant number, since it is smaller than the sum of its proper divisors (149132160).

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

58985280 is a wasteful number, since it uses less digits than its factorization.

58985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6853 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 58985280 is about 7680.1874977112. The cubic root of 58985280 is about 389.2672632407.

The spelling of 58985280 in words is "fifty-eight million, nine hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 6827 8640 13654 20481 27308 34135 40962 54616 61443 68270 81924 102405 109232 122886 136540 163848 184329 204810 218464 245772 273080 307215 327696 368658 409620 436928 491544 546160 614430 655392 737316 819240 921645 983088 1092320 1228860 1310784 1474632 1638480 1843290 1966176 2184640 2457720 2949264 3276960 3686580 3932352 4915440 5898528 6553920 7373160 9830880 11797056 14746320 19661760 29492640 58985280