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53033022 = 2337307457
BaseRepresentation
bin1100101001001…
…1100000111110
310200210100122000
43022103200332
5102034024042
65132403130
71212526140
oct312234076
9120710560
1053033022
1127a32549
12159164a6
13acaaab3
147086c90
1549c874c
hex329383e

53033022 has 64 divisors (see below), whose sum is σ = 135421440. Its totient is φ = 15069888.

The previous prime is 53033017. The next prime is 53033023. The reversal of 53033022 is 22033035.

53033022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 53032986 and 53033004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53033023) 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 31 ways as a sum of consecutive naturals, for example, 115818 + ... + 116274.

It is an arithmetic number, because the mean of its divisors is an integer number (2115960).

Almost surely, 253033022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53033022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67710720).

53033022 is an abundant number, since it is smaller than the sum of its proper divisors (82388418).

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

53033022 is a wasteful number, since it uses less digits than its factorization.

53033022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 53033022 is about 7282.3774963950. The cubic root of 53033022 is about 375.7065718471.

Adding to 53033022 its reverse (22033035), we get a palindrome (75066057).

The spelling of 53033022 in words is "fifty-three million, thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 307 378 457 614 914 921 1371 1842 2149 2742 2763 3199 4113 4298 5526 6398 6447 8226 8289 9597 12339 12894 16578 19194 19341 24678 28791 38682 57582 58023 86373 116046 140299 172746 280598 420897 841794 982093 1262691 1964186 2525382 2946279 3788073 5892558 7576146 8838837 17677674 26516511 53033022