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507422976 = 2832922783
BaseRepresentation
bin11110001111101…
…010100100000000
31022100210202110120
4132033222210000
52014400013401
6122203500240
715401011164
oct3617524400
91270722416
10507422976
11240477435
12121b27680
13811839a8
144b568ca4
152e832836
hex1e3ea900

507422976 has 72 divisors (see below), whose sum is σ = 1397114880. Its totient is φ = 163301376.

The previous prime is 507422939. The next prime is 507422977. The reversal of 507422976 is 679224705.

It is not an unprimeable number, because it can be changed into a prime (507422977) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10881 + ... + 33663.

Almost surely, 2507422976 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 507422976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698557440).

507422976 is an abundant number, since it is smaller than the sum of its proper divisors (889691904).

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

507422976 is a wasteful number, since it uses less digits than its factorization.

507422976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22831 (or 22817 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 507422976 is about 22526.0510520597. The cubic root of 507422976 is about 797.6089943175.

The spelling of 507422976 in words is "five hundred seven million, four hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 5568 7424 11136 22272 22783 45566 68349 91132 136698 182264 273396 364528 546792 660707 729056 1093584 1321414 1458112 1982121 2187168 2642828 2916224 3964242 4374336 5285656 5832448 7928484 8748672 10571312 15856968 17497344 21142624 31713936 42285248 63427872 84570496 126855744 169140992 253711488 507422976