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52269696 = 2732172157
BaseRepresentation
bin1100011101100…
…1001010000000
310122100120112200
43013121022000
5101340112241
65104153200
71203166533
oct307311200
9118316480
1052269696
1127560aa6
1215608800
13aaa151b
146d28a1a
1548c74b6
hex31d9280

52269696 has 144 divisors (see below), whose sum is σ = 160797390. Its totient is φ = 16293888.

The previous prime is 52269691. The next prime is 52269697. The reversal of 52269696 is 69696225.

52269696 is a `hidden beast` number, since 522 + 69 + 69 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 50126400 + 2143296 = 7080^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×522696962 = 5464242239864832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52269691) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 332850 + ... + 333006.

Almost surely, 252269696 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 52269696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80398695).

52269696 is an abundant number, since it is smaller than the sum of its proper divisors (108527694).

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

52269696 is a wasteful number, since it uses less digits than its factorization.

52269696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 179 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 52269696 is about 7229.7784198411. The cubic root of 52269696 is about 373.8952874897.

The spelling of 52269696 in words is "fifty-two million, two hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 157 192 204 272 288 289 306 314 384 408 471 544 576 578 612 628 816 867 942 1088 1152 1156 1224 1256 1413 1632 1734 1884 2176 2312 2448 2512 2601 2669 2826 3264 3468 3768 4624 4896 5024 5202 5338 5652 6528 6936 7536 8007 9248 9792 10048 10404 10676 11304 13872 15072 16014 18496 19584 20096 20808 21352 22608 24021 27744 30144 32028 36992 41616 42704 45216 45373 48042 55488 60288 64056 83232 85408 90432 90746 96084 110976 128112 136119 166464 170816 180864 181492 192168 256224 272238 332928 341632 362984 384336 408357 512448 544476 725968 768672 816714 1024896 1088952 1451936 1537344 1633428 2177904 2903872 3074688 3266856 4355808 5807744 6533712 8711616 13067424 17423232 26134848 52269696