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704496 = 243131129
BaseRepresentation
bin10101011111111110000
31022210101110
42223333300
5140020441
623033320
75662632
oct2537760
91283343
10704496
11441331
1229b840
131b8880
14144a52
15ddb16
hexabff0

704496 has 40 divisors (see below), whose sum is σ = 1961680. Its totient is φ = 216576.

The previous prime is 704477. The next prime is 704507. The reversal of 704496 is 694407.

It is a super-2 number, since 2×7044962 = 992629228032, which contains 22 as substring.

It is a zygodrome in base 4.

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 7 ways as a sum of consecutive naturals, for example, 60 + ... + 1188.

It is an arithmetic number, because the mean of its divisors is an integer number (49042).

2704496 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 704496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980840).

704496 is an abundant number, since it is smaller than the sum of its proper divisors (1257184).

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

704496 is a wasteful number, since it uses less digits than its factorization.

704496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 704496 is about 839.3425998959. The cubic root of 704496 is about 88.9800906524.

It can be divided in two parts, 7044 and 96, that added together give a triangular number (7140 = T119).

The spelling of 704496 in words is "seven hundred four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1129 2258 3387 4516 6774 9032 13548 14677 18064 27096 29354 44031 54192 58708 88062 117416 176124 234832 352248 704496