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58081440 = 2535235261
BaseRepresentation
bin1101110110010…
…0000010100000
311001021211202110
43131210002200
5104332101230
65432515320
71303453434
oct335440240
9131254673
1058081440
112a87049a
121754bb40
13c057921
1479dc9c4
1551744b0
hex37640a0

58081440 has 96 divisors (see below), whose sum is σ = 190947456. Its totient is φ = 14812160.

The previous prime is 58081411. The next prime is 58081451. The reversal of 58081440 is 4418085.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 58081398 and 58081407.

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, 8410 + ... + 13670.

It is an arithmetic number, because the mean of its divisors is an integer number (1989036).

Almost surely, 258081440 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 58081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95473728).

58081440 is an abundant number, since it is smaller than the sum of its proper divisors (132866016).

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

58081440 is a wasteful number, since it uses less digits than its factorization.

58081440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 58081440 is about 7621.1180282161. The cubic root of 58081440 is about 387.2687541546.

The spelling of 58081440 in words is "fifty-eight million, eighty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5261 5520 10522 11040 15783 21044 26305 31566 42088 52610 63132 78915 84176 105220 121003 126264 157830 168352 210440 242006 252528 315660 363009 420880 484012 505056 605015 631320 726018 841760 968024 1210030 1262640 1452036 1815045 1936048 2420060 2525280 2904072 3630090 3872096 4840120 5808144 7260180 9680240 11616288 14520360 19360480 29040720 58081440