Search a number
-
+
1541350050 = 2352174314057
BaseRepresentation
bin101101111011111…
…0010001010100010
310222102022200202220
41123313302022202
511124041200200
6412540251510
753124154632
oct13367621242
93872280686
101541350050
11721063119
12370240b96
131b743c466
141089c86c2
15904b64a0
hex5bdf22a2

1541350050 has 96 divisors (see below), whose sum is σ = 4141824192. Its totient is φ = 377825280.

The previous prime is 1541350049. The next prime is 1541350073. The reversal of 1541350050 is 500531451.

It is a self number, because there is not a number n which added to its sum of digits gives 1541350050.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102622 + ... + 116678.

It is an arithmetic number, because the mean of its divisors is an integer number (43144002).

Almost surely, 21541350050 is an apocalyptic number.

1541350050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1541350050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070912096).

1541350050 is an abundant number, since it is smaller than the sum of its proper divisors (2600474142).

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

1541350050 is a wasteful number, since it uses less digits than its factorization.

1541350050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14132 (or 14127 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 1541350050 is about 39260.0312022291. The cubic root of 1541350050 is about 1155.1377058878.

The spelling of 1541350050 in words is "one billion, five hundred forty-one million, three hundred fifty thousand, fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 43 50 51 75 85 86 102 129 150 170 215 255 258 425 430 510 645 731 850 1075 1275 1290 1462 2150 2193 2550 3225 3655 4386 6450 7310 10965 14057 18275 21930 28114 36550 42171 54825 70285 84342 109650 140570 210855 238969 351425 421710 477938 604451 702850 716907 1054275 1194845 1208902 1433814 1813353 2108550 2389690 3022255 3584535 3626706 5974225 6044510 7169070 9066765 10275667 11948450 15111275 17922675 18133530 20551334 30222550 30827001 35845350 45333825 51378335 61654002 90667650 102756670 154135005 256891675 308270010 513783350 770675025 1541350050