Search a number
-
+
58140288 = 273316823
BaseRepresentation
bin1101110111001…
…0011010000000
311001101211111000
43131302122000
5104340442123
65434052000
71304120133
oct335623200
9131354430
1058140288
112a900728
121757a000
13c07864b
147a1621a
155186b43
hex3772680

58140288 has 64 divisors (see below), whose sum is σ = 171604800. Its totient is φ = 19378944.

The previous prime is 58140263. The next prime is 58140319. The reversal of 58140288 is 88204185.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 4956 + ... + 11867.

It is an arithmetic number, because the mean of its divisors is an integer number (2681325).

Almost surely, 258140288 is an apocalyptic number.

It is an amenable number.

58140288 is an abundant number, since it is smaller than the sum of its proper divisors (113464512).

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

58140288 is a wasteful number, since it uses less digits than its factorization.

58140288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16846 (or 16828 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 58140288 is about 7624.9779016073. The cubic root of 58140288 is about 387.3995033179.

The spelling of 58140288 in words is "fifty-eight million, one hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 16823 33646 50469 67292 100938 134584 151407 201876 269168 302814 403752 454221 538336 605628 807504 908442 1076672 1211256 1615008 1816884 2153344 2422512 3230016 3633768 4845024 6460032 7267536 9690048 14535072 19380096 29070144 58140288