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58378950 = 23252743431
BaseRepresentation
bin1101111010110…
…0101011000110
311001211221212100
43132230223012
5104421111300
65443132530
71306133010
oct336545306
9131757770
1058378950
112aa53a73
1217674146
13c130176
147a791b0
1551d2700
hex37acac6

58378950 has 144 divisors (see below), whose sum is σ = 183845376. Its totient is φ = 13003200.

The previous prime is 58378949. The next prime is 58378951. The reversal of 58378950 is 5987385.

It is an interprime number because it is at equal distance from previous prime (58378949) and next prime (58378951).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 58378896 and 58378905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58378951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135235 + ... + 135665.

It is an arithmetic number, because the mean of its divisors is an integer number (1276704).

Almost surely, 258378950 is an apocalyptic number.

58378950 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 58378950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91922688).

58378950 is an abundant number, since it is smaller than the sum of its proper divisors (125466426).

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

58378950 is a wasteful number, since it uses less digits than its factorization.

58378950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 58378950 is about 7640.6118864918. The cubic root of 58378950 is about 387.9288626801.

The spelling of 58378950 in words is "fifty-eight million, three hundred seventy-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 43 45 50 63 70 75 86 90 105 126 129 150 175 210 215 225 258 301 315 350 387 430 431 450 525 602 630 645 774 862 903 1050 1075 1290 1293 1505 1575 1806 1935 2150 2155 2586 2709 3010 3017 3150 3225 3870 3879 4310 4515 5418 6034 6450 6465 7525 7758 9030 9051 9675 10775 12930 13545 15050 15085 18102 18533 19350 19395 21550 22575 27090 27153 30170 32325 37066 38790 45150 45255 54306 55599 64650 67725 75425 90510 92665 96975 111198 129731 135450 135765 150850 166797 185330 193950 226275 259462 271530 277995 333594 389193 452550 463325 555990 648655 678825 778386 833985 926650 1167579 1297310 1357650 1389975 1667970 1945965 2335158 2779950 3243275 3891930 4169925 5837895 6486550 8339850 9729825 11675790 19459650 29189475 58378950