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52597000 = 2353149353
BaseRepresentation
bin1100100010100…
…1000100001000
310122222012112001
43020221010020
5101431101000
65115200344
71206032011
oct310510410
9118865461
1052597000
11277649a5
12157460b4
13ab874b1
146db2008
15493e46a
hex3229108

52597000 has 64 divisors (see below), whose sum is σ = 124254000. Its totient is φ = 20838400.

The previous prime is 52596979. The next prime is 52597033. The reversal of 52597000 is 79525.

It can be written as a sum of positive squares in 8 ways, for example, as 381924 + 52215076 = 618^2 + 7226^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52597000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148824 + ... + 149176.

Almost surely, 252597000 is an apocalyptic number.

52597000 is a gapful number since it is divisible by the number (50) 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 52597000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62127000).

52597000 is an abundant number, since it is smaller than the sum of its proper divisors (71657000).

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

52597000 is a wasteful number, since it uses less digits than its factorization.

52597000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 52597000 is about 7252.3789200510. The cubic root of 52597000 is about 374.6740872014.

The spelling of 52597000 in words is "fifty-two million, five hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 353 500 596 706 745 1000 1192 1412 1490 1765 2824 2980 3530 3725 5960 7060 7450 8825 14120 14900 17650 18625 29800 35300 37250 44125 52597 70600 74500 88250 105194 149000 176500 210388 262985 353000 420776 525970 1051940 1314925 2103880 2629850 5259700 6574625 10519400 13149250 26298500 52597000