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53332032 = 2631323929
BaseRepresentation
bin1100101101110…
…0100001000000
310201100112210110
43023130201000
5102123111112
65143031320
71215212655
oct313344100
9121315713
1053332032
1128117166
1215a3b540
13b083c20
147123c2c
154a3713c
hex32dc840

53332032 has 112 divisors (see below), whose sum is σ = 158739840. Its totient is φ = 15679488.

The previous prime is 53332001. The next prime is 53332033. The reversal of 53332032 is 23023335.

It is not an unprimeable number, because it can be changed into a prime (53332033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56944 + ... + 57872.

It is an arithmetic number, because the mean of its divisors is an integer number (1417320).

Almost surely, 253332032 is an apocalyptic number.

53332032 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 53332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

53332032 is an abundant number, since it is smaller than the sum of its proper divisors (105407808).

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

53332032 is a wasteful number, since it uses less digits than its factorization.

53332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 21.

The square root of 53332032 is about 7302.8783366560. The cubic root of 53332032 is about 376.4113500236.

Adding to 53332032 its reverse (23023335), we get a palindrome (76355367).

The spelling of 53332032 in words is "fifty-three million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 138 156 184 192 208 276 299 312 368 416 552 598 624 736 832 897 929 1104 1196 1248 1472 1794 1858 2208 2392 2496 2787 3588 3716 4416 4784 5574 7176 7432 9568 11148 12077 14352 14864 19136 21367 22296 24154 28704 29728 36231 42734 44592 48308 57408 59456 64101 72462 85468 89184 96616 128202 144924 170936 178368 193232 256404 277771 289848 341872 386464 512808 555542 579696 683744 772928 833313 1025616 1111084 1159392 1367488 1666626 2051232 2222168 2318784 3333252 4102464 4444336 6666504 8888672 13333008 17777344 26666016 53332032