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503042920 = 235171933833
BaseRepresentation
bin11101111110111…
…101001101101000
31022001120020011021
4131332331031220
52012234333140
6121525542224
715315536302
oct3576751550
91261506137
10503042920
11238a55656
12120574974
13802ac143
144ab48972
152e269b4a
hex1dfbd368

503042920 has 64 divisors (see below), whose sum is σ = 1204949520. Its totient is φ = 188350464.

The previous prime is 503042893. The next prime is 503042929. The reversal of 503042920 is 29240305.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 149377284 + 353665636 = 12222^2 + 18806^2 .

It is not an unprimeable number, because it can be changed into a prime (503042929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129324 + ... + 133156.

Almost surely, 2503042920 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 503042920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602474760).

503042920 is an abundant number, since it is smaller than the sum of its proper divisors (701906600).

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

503042920 is a wasteful number, since it uses less digits than its factorization.

503042920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 503042920 is about 22428.6183257017. The cubic root of 503042920 is about 795.3073821590.

The spelling of 503042920 in words is "five hundred three million, forty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 193 340 386 680 772 965 1544 1930 3281 3833 3860 6562 7666 7720 13124 15332 16405 19165 26248 30664 32810 38330 65161 65620 76660 130322 131240 153320 260644 325805 521288 651610 739769 1303220 1479538 2606440 2959076 3698845 5918152 7397690 12576073 14795380 25152146 29590760 50304292 62880365 100608584 125760730 251521460 503042920