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982697104 = 241724612
BaseRepresentation
bin111010100100101…
…100010010010000
32112111010012000001
4322210230102100
54003032301404
6241302335344
733231534064
oct7244542220
92474105001
10982697104
11464785974
1223512a554
1312878c59c
1494725aa4
155b4147a4
hex3a92c490

982697104 has 45 divisors (see below), whose sum is σ = 2026959211. Its totient is φ = 461442560.

The previous prime is 982697083. The next prime is 982697123. The reversal of 982697104 is 401796289.

The square root of 982697104 is 31348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12250000 + 970447104 = 3500^2 + 31152^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2131434 + ... + 2131894.

Almost surely, 2982697104 is an apocalyptic number.

982697104 is the 31348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982697104

982697104 is an abundant number, since it is smaller than the sum of its proper divisors (1044262107).

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

982697104 is an equidigital number, since it uses as much as digits as its factorization.

982697104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The cubic root of 982697104 is about 994.1987789123.

The spelling of 982697104 in words is "nine hundred eighty-two million, six hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 461 578 922 1156 1844 2312 3688 4624 7376 7837 15674 31348 62696 125392 133229 212521 266458 425042 532916 850084 1065832 1700168 2131664 3400336 3612857 7225714 14451428 28902856 57805712 61418569 122837138 245674276 491348552 982697104