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53712232 = 2372731877
BaseRepresentation
bin1100110011100…
…1010101101000
310202001212022221
43030321111220
5102222242412
65155123424
71221355300
oct314712550
9122055287
1053712232
1128356882
1215ba3574
13b187cb2
1471c2600
154aaeb07
hex3339568

53712232 has 48 divisors (see below), whose sum is σ = 118821060. Its totient is φ = 22692096.

The previous prime is 53712193. The next prime is 53712233. The reversal of 53712232 is 23221735.

53712232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53202436 + 509796 = 7294^2 + 714^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53712197 and 53712206.

It is not an unprimeable number, because it can be changed into a prime (53712233) 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 11 ways as a sum of consecutive naturals, for example, 27678 + ... + 29554.

Almost surely, 253712232 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 53712232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59410530).

53712232 is an abundant number, since it is smaller than the sum of its proper divisors (65108828).

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

53712232 is a wasteful number, since it uses less digits than its factorization.

53712232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1959 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 53712232 is about 7328.8629404567. The cubic root of 53712232 is about 377.3037021631.

Adding to 53712232 its reverse (23221735), we get a palindrome (76933967).

It can be divided in two parts, 537 and 12232, that added together give a square (12769 = 1132).

The spelling of 53712232 in words is "fifty-three million, seven hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 196 292 392 511 584 1022 1877 2044 3577 3754 4088 7154 7508 13139 14308 15016 26278 28616 52556 91973 105112 137021 183946 274042 367892 548084 735784 959147 1096168 1918294 3836588 6714029 7673176 13428058 26856116 53712232