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52029040 = 2457531753
BaseRepresentation
bin1100011001111…
…0011001110000
310121220100102111
43012132121300
5101304412130
65055055104
71201145110
oct306363160
9117810374
1052029040
1127407208
1215511494
13aa18b1b
146ca5040
15487b02a
hex319e670

52029040 has 80 divisors (see below), whose sum is σ = 140937408. Its totient is φ = 17491968.

The previous prime is 52029007. The next prime is 52029053. The reversal of 52029040 is 4092025.

It is a happy number.

52029040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28804 + ... + 30556.

Almost surely, 252029040 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 52029040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70468704).

52029040 is an abundant number, since it is smaller than the sum of its proper divisors (88908368).

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

52029040 is a wasteful number, since it uses less digits than its factorization.

52029040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 52029040 is about 7213.1158315946. The cubic root of 52029040 is about 373.3205848821.

The spelling of 52029040 in words is "fifty-two million, twenty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 424 530 560 742 848 1060 1484 1753 1855 2120 2968 3506 3710 4240 5936 7012 7420 8765 12271 14024 14840 17530 24542 28048 29680 35060 49084 61355 70120 92909 98168 122710 140240 185818 196336 245420 371636 464545 490840 650363 743272 929090 981680 1300726 1486544 1858180 2601452 3251815 3716360 5202904 6503630 7432720 10405808 13007260 26014520 52029040