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58375080 = 2334543419
BaseRepresentation
bin1101111010101…
…1101110101000
311001211202120000
43132223232220
5104421000310
65443103000
71306115511
oct336535650
9131752500
1058375080
112aa51075
1217671a60
13c12b48a
147a77a08
1551d14c0
hex37abba8

58375080 has 160 divisors (see below), whose sum is σ = 201247200. Its totient is φ = 15168384.

The previous prime is 58375073. The next prime is 58375091. The reversal of 58375080 is 8057385.

It is a happy number.

58375080 is a `hidden beast` number, since 583 + 75 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139111 + ... + 139529.

It is an arithmetic number, because the mean of its divisors is an integer number (1257795).

Almost surely, 258375080 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 58375080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100623600).

58375080 is an abundant number, since it is smaller than the sum of its proper divisors (142872120).

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

58375080 is a wasteful number, since it uses less digits than its factorization.

58375080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 58375080 is about 7640.3586303262. The cubic root of 58375080 is about 387.9202904243.

The spelling of 58375080 in words is "fifty-eight million, three hundred seventy-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 81 86 90 108 120 129 135 162 172 180 215 216 258 270 324 344 360 387 405 419 430 516 540 645 648 774 810 838 860 1032 1080 1161 1257 1290 1548 1620 1676 1720 1935 2095 2322 2514 2580 3096 3240 3352 3483 3771 3870 4190 4644 5028 5160 5805 6285 6966 7542 7740 8380 9288 10056 11313 11610 12570 13932 15084 15480 16760 17415 18017 18855 22626 23220 25140 27864 30168 33939 34830 36034 37710 45252 46440 50280 54051 56565 67878 69660 72068 75420 90085 90504 108102 113130 135756 139320 144136 150840 162153 169695 180170 216204 226260 270255 271512 324306 339390 360340 432408 452520 486459 540510 648612 678780 720680 810765 972918 1081020 1297224 1357560 1459377 1621530 1945836 2162040 2432295 2918754 3243060 3891672 4864590 5837508 6486120 7296885 9729180 11675016 14593770 19458360 29187540 58375080