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494859552 = 253112511867
BaseRepresentation
bin11101011111101…
…111010100100000
31021111011110200120
4131133233110200
52003141001202
6121034320240
715156144135
oct3537572440
91244143616
10494859552
11234376340
12119889080
137b6a5405
1449a1858c
152d6a00bc
hex1d7ef520

494859552 has 96 divisors (see below), whose sum is σ = 1423505664. Its totient is φ = 149280000.

The previous prime is 494859551. The next prime is 494859553. The reversal of 494859552 is 255958494.

It is an interprime number because it is at equal distance from previous prime (494859551) and next prime (494859553).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 494859495 and 494859504.

It is not an unprimeable number, because it can be changed into a prime (494859551) by changing a digit.

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, 264123 + ... + 265989.

It is an arithmetic number, because the mean of its divisors is an integer number (14828184).

Almost surely, 2494859552 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 494859552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711752832).

494859552 is an abundant number, since it is smaller than the sum of its proper divisors (928646112).

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

494859552 is a wasteful number, since it uses less digits than its factorization.

494859552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2134 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 51.

The square root of 494859552 is about 22245.4389032898. The cubic root of 494859552 is about 790.9711668977.

The spelling of 494859552 in words is "four hundred ninety-four million, eight hundred fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 251 264 352 502 528 753 1004 1056 1506 1867 2008 2761 3012 3734 4016 5522 5601 6024 7468 8032 8283 11044 11202 12048 14936 16566 20537 22088 22404 24096 29872 33132 41074 44176 44808 59744 61611 66264 82148 88352 89616 123222 132528 164296 179232 246444 265056 328592 468617 492888 657184 937234 985776 1405851 1874468 1971552 2811702 3748936 5154787 5623404 7497872 10309574 11246808 14995744 15464361 20619148 22493616 30928722 41238296 44987232 61857444 82476592 123714888 164953184 247429776 494859552