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508696896 = 2631092223
BaseRepresentation
bin11110010100100…
…001100101000000
31022110012110221210
4132110201211000
52020211300041
6122251050120
715414565221
oct3624414500
91273173853
10508696896
11241167564
12122440940
138150b7a6
144b7bb248
152e9d5016
hex1e521940

508696896 has 84 divisors (see below), whose sum is σ = 1364479872. Its totient is φ = 167256576.

The previous prime is 508696891. The next prime is 508696901. The reversal of 508696896 is 698696805.

It is an interprime number because it is at equal distance from previous prime (508696891) and next prime (508696901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508696891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2281041 + ... + 2281263.

It is an arithmetic number, because the mean of its divisors is an integer number (16243808).

Almost surely, 2508696896 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 508696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682239936).

508696896 is an abundant number, since it is smaller than the sum of its proper divisors (855782976).

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

508696896 is a wasteful number, since it uses less digits than its factorization.

508696896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The square root of 508696896 is about 22554.3099207225. The cubic root of 508696896 is about 798.2759204396.

The spelling of 508696896 in words is "five hundred eight million, six hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 223 327 436 446 654 669 872 892 1308 1338 1744 1784 2616 2676 3488 3568 5232 5352 6976 7136 10464 10704 11881 14272 20928 21408 23762 24307 35643 42816 47524 48614 71286 72921 95048 97228 142572 145842 190096 194456 285144 291684 380192 388912 570288 583368 760384 777824 1140576 1166736 1555648 2281152 2333472 2649463 4666944 5298926 7948389 10597852 15896778 21195704 31793556 42391408 63587112 84782816 127174224 169565632 254348448 508696896