Search a number
-
+
58440150 = 2335273593
BaseRepresentation
bin1101111011101…
…1100111010110
311001222001211000
43132323213112
5104430041100
65444324130
71306506306
oct336734726
9131861730
1058440150
112aa95a4a
12176a3646
13c151c92
147a93606
1551e5900
hex37bb9d6

58440150 has 96 divisors (see below), whose sum is σ = 163516320. Its totient is φ = 15344640.

The previous prime is 58440121. The next prime is 58440157. The reversal of 58440150 is 5104485.

It is a super-2 number, since 2×584401502 = 6830502264045000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58440157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98254 + ... + 98846.

It is an arithmetic number, because the mean of its divisors is an integer number (1703295).

Almost surely, 258440150 is an apocalyptic number.

58440150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 58440150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81758160).

58440150 is an abundant number, since it is smaller than the sum of its proper divisors (105076170).

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

58440150 is a wasteful number, since it uses less digits than its factorization.

58440150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 58440150 is about 7644.6157522795. The cubic root of 58440150 is about 388.0643735966.

The spelling of 58440150 in words is "fifty-eight million, four hundred forty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 73 75 90 135 146 150 219 225 270 365 438 450 593 657 675 730 1095 1186 1314 1350 1779 1825 1971 2190 2965 3285 3558 3650 3942 5337 5475 5930 6570 8895 9855 10674 10950 14825 16011 16425 17790 19710 26685 29650 32022 32850 43289 44475 49275 53370 80055 86578 88950 98550 129867 133425 160110 216445 259734 266850 389601 400275 432890 649335 779202 800550 1082225 1168803 1298670 1948005 2164450 2337606 3246675 3896010 5844015 6493350 9740025 11688030 19480050 29220075 58440150