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53681664 = 29334949
BaseRepresentation
bin1100110011000…
…1111000000000
310202000022101210
43030301320000
5102220303124
65154330120
71221200211
oct314617000
9122008353
1053681664
1128335913
1215b89940
13b1770ca
1471b5408
154aa5a29
hex3331e00

53681664 has 40 divisors (see below), whose sum is σ = 143015400. Its totient is φ = 17893376.

The previous prime is 53681657. The next prime is 53681671. The reversal of 53681664 is 46618635.

It is an interprime number because it is at equal distance from previous prime (53681657) and next prime (53681671).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15939 + ... + 19010.

It is an arithmetic number, because the mean of its divisors is an integer number (3575385).

Almost surely, 253681664 is an apocalyptic number.

It is an amenable number.

53681664 is an abundant number, since it is smaller than the sum of its proper divisors (89333736).

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

53681664 is an equidigital number, since it uses as much as digits as its factorization.

53681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34970 (or 34954 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 53681664 is about 7326.7771905525. Note that the first 3 decimals coincide. The cubic root of 53681664 is about 377.2321132050.

It can be divided in two parts, 53681 and 664, that added together give a palindrome (54345).

The spelling of 53681664 in words is "fifty-three million, six hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 34949 69898 104847 139796 209694 279592 419388 559184 838776 1118368 1677552 2236736 3355104 4473472 6710208 8946944 13420416 17893888 26840832 53681664