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20763552 = 253316977
BaseRepresentation
bin100111100110…
…1001110100000
31110001220020110
41033031032200
520303413202
62021011320
7341326065
oct117151640
943056213
1020763552
11107a1a67
126b53b40
1343bcb34
142a86c6c
151c5226c
hex13cd3a0

20763552 has 48 divisors (see below), whose sum is σ = 56270592. Its totient is φ = 6696960.

The previous prime is 20763551. The next prime is 20763559. The reversal of 20763552 is 25536702.

20763552 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×207635522 = 862250183313408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20763551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513 + ... + 6464.

It is an arithmetic number, because the mean of its divisors is an integer number (1172304).

Almost surely, 220763552 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 20763552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28135296).

20763552 is an abundant number, since it is smaller than the sum of its proper divisors (35507040).

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

20763552 is a wasteful number, since it uses less digits than its factorization.

20763552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7021 (or 7013 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 20763552 is about 4556.7040720240. The cubic root of 20763552 is about 274.8530432451.

The spelling of 20763552 in words is "twenty million, seven hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 6977 13954 20931 27908 41862 55816 83724 111632 167448 216287 223264 334896 432574 648861 669792 865148 1297722 1730296 2595444 3460592 5190888 6921184 10381776 20763552