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52835544 = 2333331739
BaseRepresentation
bin1100100110001…
…1010011011000
310200102022202000
43021203103120
5102011214134
65124241000
71211044326
oct311432330
9120368660
1052835544
1127908143
1215840160
13ac3bc48
147034d16
154989e99
hex32634d8

52835544 has 64 divisors (see below), whose sum is σ = 147408000. Its totient is φ = 17534880.

The previous prime is 52835543. The next prime is 52835551. The reversal of 52835544 is 44553825.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52835499 and 52835508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52835543) 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, 71127 + ... + 71865.

It is an arithmetic number, because the mean of its divisors is an integer number (2303250).

Almost surely, 252835544 is an apocalyptic number.

52835544 is a gapful number since it is divisible by the number (54) 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 52835544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73704000).

52835544 is an abundant number, since it is smaller than the sum of its proper divisors (94572456).

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

52835544 is a wasteful number, since it uses less digits than its factorization.

52835544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1075 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 52835544 is about 7268.8062293612. The cubic root of 52835544 is about 375.2396548089.

The spelling of 52835544 in words is "fifty-two million, eight hundred thirty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 331 662 739 993 1324 1478 1986 2217 2648 2956 2979 3972 4434 5912 5958 6651 7944 8868 8937 11916 13302 17736 17874 19953 23832 26604 35748 39906 53208 71496 79812 159624 244609 489218 733827 978436 1467654 1956872 2201481 2935308 4402962 5870616 6604443 8805924 13208886 17611848 26417772 52835544