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699420512 = 25723114389
BaseRepresentation
bin101001101100000…
…100111101100000
31210202002020120102
4221230010331200
52413022424022
6153223001532
723221655600
oct5154047540
91722066512
10699420512
11329893a8a
121762992a8
13b1b986bb
1468c66c00
154160aa92
hex29b04f60

699420512 has 72 divisors (see below), whose sum is σ = 1653583680. Its totient is φ = 290062080.

The previous prime is 699420497. The next prime is 699420539. The reversal of 699420512 is 215024996.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 41414 + ... + 55802.

It is an arithmetic number, because the mean of its divisors is an integer number (22966440).

Almost surely, 2699420512 is an apocalyptic number.

699420512 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 699420512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826791840).

699420512 is an abundant number, since it is smaller than the sum of its proper divisors (954163168).

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

699420512 is a wasteful number, since it uses less digits than its factorization.

699420512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14444 (or 14429 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 699420512 is about 26446.5595494007. The cubic root of 699420512 is about 887.6589199510.

The spelling of 699420512 in words is "six hundred ninety-nine million, four hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 392 434 496 784 868 992 1519 1568 1736 3038 3472 6076 6944 12152 14389 24304 28778 48608 57556 100723 115112 201446 230224 402892 446059 460448 705061 805784 892118 1410122 1611568 1784236 2820244 3122413 3223136 3568472 5640488 6244826 7136944 11280976 12489652 14273888 21856891 22561952 24979304 43713782 49958608 87427564 99917216 174855128 349710256 699420512