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58048720 = 24529131191
BaseRepresentation
bin1101110101110…
…0000011010000
311001020011212121
43131130003100
5104330024340
65432104024
71303256152
oct335340320
9131204777
1058048720
112a848954
1217535014
13c045a72
1479d0ad2
15516994a
hex375c0d0

58048720 has 80 divisors (see below), whose sum is σ = 141419520. Its totient is φ = 22131200.

The previous prime is 58048687. The next prime is 58048721. The reversal of 58048720 is 2784085.

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58048721) 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, 303825 + ... + 304015.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 258048720 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 58048720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

58048720 is an abundant number, since it is smaller than the sum of its proper divisors (83370800).

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

58048720 is a wasteful number, since it uses less digits than its factorization.

58048720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 58048720 is about 7618.9710591392. The cubic root of 58048720 is about 387.1960182752.

The spelling of 58048720 in words is "fifty-eight million, forty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 131 145 191 232 262 290 382 464 524 580 655 764 955 1048 1160 1310 1528 1910 2096 2320 2620 3056 3799 3820 5240 5539 7598 7640 10480 11078 15196 15280 18995 22156 25021 27695 30392 37990 44312 50042 55390 60784 75980 88624 100084 110780 125105 151960 200168 221560 250210 303920 400336 443120 500420 725609 1000840 1451218 2001680 2902436 3628045 5804872 7256090 11609744 14512180 29024360 58048720