Search a number
-
+
58192640 = 285114133
BaseRepresentation
bin1101110111111…
…1001100000000
311001111111021222
43131333030000
5104344131030
65435134212
71304425562
oct335771400
9131444258
1058192640
112a936aa0
12175a4368
13c09641c
147a2b332
1551973e5
hex377f300

58192640 has 72 divisors (see below), whose sum is σ = 152098128. Its totient is φ = 21155840.

The previous prime is 58192633. The next prime is 58192669. The reversal of 58192640 is 4629185.

It is a self number, because there is not a number n which added to its sum of digits gives 58192640.

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, 12014 + ... + 16146.

It is an arithmetic number, because the mean of its divisors is an integer number (2112474).

Almost surely, 258192640 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 58192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76049064).

58192640 is an abundant number, since it is smaller than the sum of its proper divisors (93905488).

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

58192640 is a wasteful number, since it uses less digits than its factorization.

58192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 58192640 is about 7628.4100571482. The cubic root of 58192640 is about 387.5157454580.

The spelling of 58192640 in words is "fifty-eight million, one hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 4133 7040 8266 14080 16532 20665 33064 41330 45463 66128 82660 90926 132256 165320 181852 227315 264512 330640 363704 454630 529024 661280 727408 909260 1058048 1322560 1454816 1818520 2645120 2909632 3637040 5290240 5819264 7274080 11638528 14548160 29096320 58192640