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52369632 = 2533721237
BaseRepresentation
bin1100011111000…
…1100011100000
310122112122122000
43013301203200
5101401312012
65110244000
71204064100
oct307614340
9118478560
1052369632
112761a097
1215656600
13ab07b63
146d53200
1548e6ddc
hex31f18e0

52369632 has 144 divisors (see below), whose sum is σ = 177826320. Its totient is φ = 14950656.

The previous prime is 52369631. The next prime is 52369637. The reversal of 52369632 is 23696325.

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

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

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52369631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41718 + ... + 42954.

It is an arithmetic number, because the mean of its divisors is an integer number (1234905).

Almost surely, 252369632 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 52369632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88913160).

52369632 is an abundant number, since it is smaller than the sum of its proper divisors (125456688).

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

52369632 is a wasteful number, since it uses less digits than its factorization.

52369632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1249 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 52369632 is about 7236.6865345958. The cubic root of 52369632 is about 374.1334229940.

The spelling of 52369632 in words is "fifty-two million, three hundred sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1237 1323 1512 1568 1764 2016 2352 2474 2646 3024 3528 3711 4704 4948 5292 6048 7056 7422 8659 9896 10584 11133 14112 14844 17318 19792 21168 22266 25977 29688 33399 34636 39584 42336 44532 51954 59376 60613 66798 69272 77931 89064 103908 118752 121226 133596 138544 155862 178128 181839 207816 233793 242452 267192 277088 311724 356256 363678 415632 467586 484904 534384 545517 623448 727356 831264 935172 969808 1068768 1091034 1246896 1454712 1636551 1870344 1939616 2182068 2493792 2909424 3273102 3740688 4364136 5818848 6546204 7481376 8728272 13092408 17456544 26184816 52369632