Search a number
-
+
58804080 = 2435892753
BaseRepresentation
bin1110000001010…
…0011101110000
311002122120000220
43200110131300
5110023212310
65500213040
71312553316
oct340243560
9132576026
1058804080
1130214415
121783a180
13c24b81a
147b4a0b6
155268670
hex3814770

58804080 has 80 divisors (see below), whose sum is σ = 184407840. Its totient is φ = 15499264.

The previous prime is 58804073. The next prime is 58804087. The reversal of 58804080 is 8040885.

It is an interprime number because it is at equal distance from previous prime (58804073) and next prime (58804087).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58804087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19984 + ... + 22736.

It is an arithmetic number, because the mean of its divisors is an integer number (2305098).

Almost surely, 258804080 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 58804080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92203920).

58804080 is an abundant number, since it is smaller than the sum of its proper divisors (125603760).

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

58804080 is a wasteful number, since it uses less digits than its factorization.

58804080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 58804080 is about 7668.3818371284. The cubic root of 58804080 is about 388.8682508171.

The spelling of 58804080 in words is "fifty-eight million, eight hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 2136 2670 2753 3560 4272 5340 5506 7120 8259 10680 11012 13765 16518 21360 22024 27530 33036 41295 44048 55060 66072 82590 110120 132144 165180 220240 245017 330360 490034 660720 735051 980068 1225085 1470102 1960136 2450170 2940204 3675255 3920272 4900340 5880408 7350510 9800680 11760816 14701020 19601360 29402040 58804080