Search a number
-
+
503042848 = 257111091873
BaseRepresentation
bin11101111110111…
…101001100100000
31022001120020001121
4131332331030200
52012234332343
6121525542024
715315536140
oct3576751440
91261506047
10503042848
11238a555a0
12120574914
13802ac0b9
144ab48920
152e269aed
hex1dfbd320

503042848 has 96 divisors (see below), whose sum is σ = 1246734720. Its totient is φ = 194088960.

The previous prime is 503042789. The next prime is 503042851. The reversal of 503042848 is 848240305.

It is a super-2 number, since 2×5030428482 = 506104213847902208, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 267640 + ... + 269512.

It is an arithmetic number, because the mean of its divisors is an integer number (12986820).

Almost surely, 2503042848 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 503042848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623367360).

503042848 is an abundant number, since it is smaller than the sum of its proper divisors (743691872).

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

503042848 is a wasteful number, since it uses less digits than its factorization.

503042848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 503042848 is about 22428.6167206094. The cubic root of 503042848 is about 795.3073442152.

The spelling of 503042848 in words is "five hundred three million, forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 109 112 154 176 218 224 308 352 436 616 763 872 1199 1232 1526 1744 1873 2398 2464 3052 3488 3746 4796 6104 7492 8393 9592 12208 13111 14984 16786 19184 20603 24416 26222 29968 33572 38368 41206 52444 59936 67144 82412 104888 134288 144221 164824 204157 209776 268576 288442 329648 408314 419552 576884 659296 816628 1153768 1429099 1633256 2245727 2307536 2858198 3266512 4491454 4615072 5716396 6533024 8982908 11432792 15720089 17965816 22865584 31440178 35931632 45731168 62880356 71863264 125760712 251521424 503042848