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58148480 = 2751329241
BaseRepresentation
bin1101110111010…
…0011010000000
311001102020201102
43131310122000
5104341222410
65434153532
71304153045
oct335643200
9131366642
1058148480
112a9068a5
12175828a8
13c07c2b0
147a191cc
1551892a5
hex3774680

58148480 has 128 divisors (see below), whose sum is σ = 155509200. Its totient is φ = 20643840.

The previous prime is 58148479. The next prime is 58148491. The reversal of 58148480 is 8484185.

It can be written as a sum of positive squares in 8 ways, for example, as 22052416 + 36096064 = 4696^2 + 6008^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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, 241160 + ... + 241400.

Almost surely, 258148480 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 58148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77754600).

58148480 is an abundant number, since it is smaller than the sum of its proper divisors (97360720).

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

58148480 is a wasteful number, since it uses less digits than its factorization.

58148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The square root of 58148480 is about 7625.5150645710. The cubic root of 58148480 is about 387.4176974010.

The spelling of 58148480 in words is "fifty-eight million, one hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 128 130 145 160 208 232 241 260 290 320 377 416 464 482 520 580 640 754 832 928 964 1040 1160 1205 1508 1664 1856 1885 1928 2080 2320 2410 3016 3133 3712 3770 3856 4160 4640 4820 6032 6266 6989 7540 7712 8320 9280 9640 12064 12532 13978 15080 15424 15665 18560 19280 24128 25064 27956 30160 30848 31330 34945 38560 48256 50128 55912 60320 62660 69890 77120 90857 100256 111824 120640 125320 139780 154240 181714 200512 223648 241280 250640 279560 363428 401024 447296 454285 501280 559120 726856 894592 908570 1002560 1118240 1453712 1817140 2005120 2236480 2907424 3634280 4472960 5814848 7268560 11629696 14537120 29074240 58148480