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52597972 = 22721012657
BaseRepresentation
bin1100100010100…
…1010011010100
310122222020212001
43020221103110
5101431113342
65115205044
71206034600
oct310512324
9118866761
1052597972
11277656a9
1215746784
13ab87a7b
146db2500
15493e8b7
hex32294d4

52597972 has 36 divisors (see below), whose sum is σ = 108175284. Its totient is φ = 22310400.

The previous prime is 52597933. The next prime is 52597973. The reversal of 52597972 is 27979525.

It can be written as a sum of positive squares in 2 ways, for example, as 44036496 + 8561476 = 6636^2 + 2926^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52597973) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18468 + ... + 21124.

It is an arithmetic number, because the mean of its divisors is an integer number (3004869).

Almost surely, 252597972 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 52597972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54087642).

52597972 is an abundant number, since it is smaller than the sum of its proper divisors (55577312).

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

52597972 is a wasteful number, since it uses less digits than its factorization.

52597972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2767 counting only the distinct ones).

The product of its digits is 396900, while the sum is 46.

The square root of 52597972 is about 7252.4459322356. The cubic root of 52597972 is about 374.6763951972.

It can be divided in two parts, 5259 and 7972, that added together give a palindrome (13231).

The spelling of 52597972 in words is "fifty-two million, five hundred ninety-seven thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 98 101 196 202 404 707 1414 2657 2828 4949 5314 9898 10628 18599 19796 37198 74396 130193 260386 268357 520772 536714 1073428 1878499 3756998 7513996 13149493 26298986 52597972