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499961664 = 2632883983
BaseRepresentation
bin11101110011001…
…100111101000000
31021211202200110200
4131303030331000
52010442233124
6121335525200
715250414116
oct3563147500
91254680420
10499961664
11237240664
1211b529800
137c770807
144a585ab6
152dd5bbc9
hex1dcccf40

499961664 has 84 divisors (see below), whose sum is σ = 1436132256. Its totient is φ = 166295808.

The previous prime is 499961659. The next prime is 499961669. The reversal of 499961664 is 466169994.

499961664 is a `hidden beast` number, since 499 + 96 + 1 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (499961659) and next prime (499961669).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 499961664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499961669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508117 + ... + 509099.

Almost surely, 2499961664 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 499961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718066128).

499961664 is an abundant number, since it is smaller than the sum of its proper divisors (936170592).

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

499961664 is a wasteful number, since it uses less digits than its factorization.

499961664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1871 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 499961664 is about 22359.8225395462. The cubic root of 499961664 is about 793.6802405967.

The spelling of 499961664 in words is "four hundred ninety-nine million, nine hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 883 983 1766 1966 2649 2949 3532 3932 5298 5898 7064 7864 7947 8847 10596 11796 14128 15728 15894 17694 21192 23592 28256 31456 31788 35388 42384 47184 56512 62912 63576 70776 84768 94368 127152 141552 169536 188736 254304 283104 508608 566208 867989 1735978 2603967 3471956 5207934 6943912 7811901 10415868 13887824 15623802 20831736 27775648 31247604 41663472 55551296 62495208 83326944 124990416 166653888 249980832 499961664