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53331040 = 2557172801
BaseRepresentation
bin1100101101110…
…0010001100000
310201100111102201
43023130101200
5102123043130
65143022544
71215210040
oct313342140
9121314381
1053331040
1128116444
1215a3aa54
13b083639
147123720
154a36bca
hex32dc460

53331040 has 96 divisors (see below), whose sum is σ = 152518464. Its totient is φ = 17203200.

The previous prime is 53331007. The next prime is 53331053. The reversal of 53331040 is 4013335.

It is a junction number, because it is equal to n+sod(n) for n = 53330999 and 53331017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17640 + ... + 20440.

It is an arithmetic number, because the mean of its divisors is an integer number (1588734).

Almost surely, 253331040 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 53331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76259232).

53331040 is an abundant number, since it is smaller than the sum of its proper divisors (99187424).

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

53331040 is a wasteful number, since it uses less digits than its factorization.

53331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 53331040 is about 7302.8104179145. The cubic root of 53331040 is about 376.4090162018.

Adding to 53331040 its reverse (4013335), we get a palindrome (57344375).

The spelling of 53331040 in words is "fifty-three million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 2801 3808 4760 5602 9520 11204 14005 19040 19607 22408 28010 39214 44816 47617 56020 78428 89632 95234 98035 112040 156856 190468 196070 224080 238085 313712 333319 380936 392140 448160 476170 627424 666638 761872 784280 952340 1333276 1523744 1568560 1666595 1904680 2666552 3137120 3333190 3809360 5333104 6666380 7618720 10666208 13332760 26665520 53331040