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508379250 = 2353672151
BaseRepresentation
bin11110010011010…
…100000001110010
31022102121100020010
4132103110001302
52020121114000
6122240155350
715412103151
oct3623240162
91272540203
10508379250
11240a6a945
12122308b56
138142a032
144b737598
152e970d50
hex1e4d4072

508379250 has 96 divisors (see below), whose sum is σ = 1296667008. Its totient is φ = 132660000.

The previous prime is 508379243. The next prime is 508379279. The reversal of 508379250 is 52973805.

It is a junction number, because it is equal to n+sod(n) for n = 508379199 and 508379208.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3366675 + ... + 3366825.

It is an arithmetic number, because the mean of its divisors is an integer number (13506948).

Almost surely, 2508379250 is an apocalyptic number.

508379250 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 508379250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648333504).

508379250 is an abundant number, since it is smaller than the sum of its proper divisors (788287758).

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

508379250 is a wasteful number, since it uses less digits than its factorization.

508379250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 508379250 is about 22547.2670184215. The cubic root of 508379250 is about 798.1097298245.

The spelling of 508379250 in words is "five hundred eight million, three hundred seventy-nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 125 134 150 151 201 250 302 335 375 402 453 670 750 755 906 1005 1510 1675 2010 2265 3350 3775 4489 4530 5025 7550 8375 8978 10050 10117 11325 13467 16750 18875 20234 22445 22650 25125 26934 30351 37750 44890 50250 50585 56625 60702 67335 101170 112225 113250 134670 151755 224450 252925 303510 336675 505850 561125 673350 677839 758775 1122250 1264625 1355678 1517550 1683375 2033517 2529250 3366750 3389195 3793875 4067034 6778390 7587750 10167585 16945975 20335170 33891950 50837925 84729875 101675850 169459750 254189625 508379250