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396647056 = 241323832
BaseRepresentation
bin10111101001000…
…101101010010000
31000122100202110201
4113221011222100
51303020201211
6103205304544
712554305261
oct2751055220
91018322421
10396647056
11193995893
12b0a05154
1364239400
143a970968
1524c500c1
hex17a45a90

396647056 has 45 divisors (see below), whose sum is σ = 834345129. Its totient is φ = 182589888.

The previous prime is 396647051. The next prime is 396647057. The reversal of 396647056 is 650746693.

The square root of 396647056 is 19916.

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

It can be written as a sum of positive squares in only one way, i.e., 58675600 + 337971456 = 7660^2 + 18384^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 396646997 and 396647015.

It is not an unprimeable number, because it can be changed into a prime (396647051) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1035441 + ... + 1035823.

Almost surely, 2396647056 is an apocalyptic number.

396647056 is the 19916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396647056

396647056 is an abundant number, since it is smaller than the sum of its proper divisors (437698073).

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

396647056 is an equidigital number, since it uses as much as digits as its factorization.

396647056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The cubic root of 396647056 is about 734.7417952461.

The spelling of 396647056 in words is "three hundred ninety-six million, six hundred forty-seven thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 383 676 766 1352 1532 2704 3064 4979 6128 9958 19916 39832 64727 79664 129454 146689 258908 293378 517816 586756 1035632 1173512 1906957 2347024 3813914 7627828 15255656 24790441 30511312 49580882 99161764 198323528 396647056