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52247268 = 223447273
BaseRepresentation
bin1100011101001…
…1101011100100
310122022102210000
43013103223210
5101333403033
65103501300
71203044253
oct307235344
9118272700
1052247268
1127546167
12155b7830
13aa94258
146d2079a
1548c0a13
hex31d3ae4

52247268 has 90 divisors (see below), whose sum is σ = 141464246. Its totient is φ = 16811712.

The previous prime is 52247263. The next prime is 52247281. The reversal of 52247268 is 86274225.

52247268 is a `hidden beast` number, since 522 + 4 + 72 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45805824 + 6441444 = 6768^2 + 2538^2 .

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

It is not an unprimeable number, because it can be changed into a prime (52247263) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 715680 + ... + 715752.

Almost surely, 252247268 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 52247268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70732123).

52247268 is an abundant number, since it is smaller than the sum of its proper divisors (89216978).

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

52247268 is a wasteful number, since it uses less digits than its factorization.

52247268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 125 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 52247268 is about 7228.2271685386. The cubic root of 52247268 is about 373.8418025592.

The spelling of 52247268 in words is "fifty-two million, two hundred forty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 73 81 94 108 141 146 162 188 219 282 292 324 423 438 564 657 846 876 1269 1314 1692 1971 2209 2538 2628 3431 3807 3942 4418 5076 5913 6627 6862 7614 7884 8836 10293 11826 13254 13724 15228 19881 20586 23652 26508 30879 39762 41172 59643 61758 79524 92637 119286 123516 161257 178929 185274 238572 277911 322514 357858 370548 483771 555822 645028 715716 967542 1111644 1451313 1935084 2902626 4353939 5805252 8707878 13061817 17415756 26123634 52247268