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52273152 = 21332709
BaseRepresentation
bin1100011101101…
…0000000000000
310122100202021200
43013122000000
5101340220102
65104221200
71203212601
oct307320000
9118322250
1052273152
1127563658
121560a800
13aaa2c79
146d29da8
1548c851c
hex31da000

52273152 has 84 divisors (see below), whose sum is σ = 151215090. Its totient is φ = 17399808.

The previous prime is 52273139. The next prime is 52273153. The reversal of 52273152 is 25137225.

It can be written as a sum of positive squares in only one way, i.e., 50466816 + 1806336 = 7104^2 + 1344^2 .

It is not an unprimeable number, because it can be changed into a prime (52273153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73374 + ... + 74082.

Almost surely, 252273152 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 52273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75607545).

52273152 is an abundant number, since it is smaller than the sum of its proper divisors (98941938).

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

52273152 is an equidigital number, since it uses as much as digits as its factorization.

52273152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 714 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 52273152 is about 7230.0174273649. The cubic root of 52273152 is about 373.9035277879.

It can be divided in two parts, 52273 and 152, that added together give a palindrome (52425).

The spelling of 52273152 in words is "fifty-two million, two hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 709 768 1024 1152 1418 1536 2048 2127 2304 2836 3072 4096 4254 4608 5672 6144 6381 8192 8508 9216 11344 12288 12762 17016 18432 22688 24576 25524 34032 36864 45376 51048 68064 73728 90752 102096 136128 181504 204192 272256 363008 408384 544512 726016 816768 1089024 1452032 1633536 2178048 2904064 3267072 4356096 5808128 6534144 8712192 13068288 17424384 26136576 52273152