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52100272 = 2475367131
BaseRepresentation
bin1100011010111…
…1110010110000
310122000222010201
43012233302300
5101314202042
65100404544
71201562560
oct306576260
9118028121
1052100272
1127455784
1215546754
13aa42383
146cc2da0
1548921b7
hex31afcb0

52100272 has 80 divisors (see below), whose sum is σ = 120206592. Its totient is φ = 21415680.

The previous prime is 52100249. The next prime is 52100273. The reversal of 52100272 is 27200125.

It is not an unprimeable number, because it can be changed into a prime (52100273) 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, 397647 + ... + 397777.

Almost surely, 252100272 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 52100272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60103296).

52100272 is an abundant number, since it is smaller than the sum of its proper divisors (68106320).

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

52100272 is a wasteful number, since it uses less digits than its factorization.

52100272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 52100272 is about 7218.0518147212. The cubic root of 52100272 is about 373.4908759697.

Adding to 52100272 its reverse (27200125), we get a palindrome (79300397).

The spelling of 52100272 in words is "fifty-two million, one hundred thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 53 56 67 106 112 131 134 212 262 268 371 424 469 524 536 742 848 917 938 1048 1072 1484 1834 1876 2096 2968 3551 3668 3752 5936 6943 7102 7336 7504 8777 13886 14204 14672 17554 24857 27772 28408 35108 48601 49714 55544 56816 61439 70216 97202 99428 111088 122878 140432 194404 198856 245756 388808 397712 465181 491512 777616 930362 983024 1860724 3256267 3721448 6512534 7442896 13025068 26050136 52100272