[go: up one dir, main page]

Search a number
-
+
59494950 = 23252294797
BaseRepresentation
bin1110001011110…
…1001000100110
311010221122201200
43202331020212
5110212314300
65523103330
71321461444
oct342751046
9133848650
1059494950
1130646489
1217b11b46
13c431118
147c89b94
155353200
hex38bd226

59494950 has 144 divisors (see below), whose sum is σ = 170614080. Its totient is φ = 14837760.

The previous prime is 59494949. The next prime is 59494957. The reversal of 59494950 is 5949495.

59494950 is a `hidden beast` number, since 594 + 9 + 4 + 9 + 50 = 666.

59494950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 59494896 and 59494905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59494957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 613302 + ... + 613398.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 259494950 is an apocalyptic number.

59494950 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 59494950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

59494950 is an abundant number, since it is smaller than the sum of its proper divisors (111119130).

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

59494950 is a wasteful number, since it uses less digits than its factorization.

59494950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 59494950 is about 7713.2969604443. The cubic root of 59494950 is about 390.3852209522.

The spelling of 59494950 in words is "fifty-nine million, four hundred ninety-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 47 50 58 75 87 90 94 97 141 145 150 174 194 225 235 261 282 290 291 423 435 450 470 485 522 582 705 725 846 870 873 970 1175 1305 1363 1410 1450 1455 1746 2115 2175 2350 2425 2610 2726 2813 2910 3525 4089 4230 4350 4365 4559 4850 5626 6525 6815 7050 7275 8178 8439 8730 9118 10575 12267 13050 13630 13677 14065 14550 16878 20445 21150 21825 22795 24534 25317 27354 28130 34075 40890 41031 42195 43650 45590 50634 61335 68150 68385 70325 82062 84390 102225 113975 122670 126585 132211 136770 140650 204450 205155 210975 227950 253170 264422 306675 341925 396633 410310 421950 613350 632925 661055 683850 793266 1025775 1189899 1265850 1322110 1983165 2051550 2379798 3305275 3966330 5949495 6610550 9915825 11898990 19831650 29747475 59494950