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53061632 = 211131993
BaseRepresentation
bin1100101001101…
…0100000000000
310200211210212122
43022122200000
5102040433012
65133143412
71213005431
oct312324000
9120753778
1053061632
1127a51a98
121592ab68
13acbab20
147093488
1549d1e72
hex329a800

53061632 has 48 divisors (see below), whose sum is σ = 114316020. Its totient is φ = 24477696.

The previous prime is 53061601. The next prime is 53061649. The reversal of 53061632 is 23616035.

It can be written as a sum of positive squares in 2 ways, for example, as 52765696 + 295936 = 7264^2 + 544^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 25628 + ... + 27620.

Almost surely, 253061632 is an apocalyptic number.

53061632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57158010).

53061632 is an abundant number, since it is smaller than the sum of its proper divisors (61254388).

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

53061632 is a wasteful number, since it uses less digits than its factorization.

53061632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 53061632 is about 7284.3415625573. The cubic root of 53061632 is about 375.7741211605.

Adding to 53061632 its reverse (23616035), we get a palindrome (76677667).

The spelling of 53061632 in words is "fifty-three million, sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 1993 2048 3328 3986 6656 7972 13312 15944 25909 26624 31888 51818 63776 103636 127552 207272 255104 414544 510208 829088 1020416 1658176 2040832 3316352 4081664 6632704 13265408 26530816 53061632