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50445252 = 2232111341239
BaseRepresentation
bin1100000001101…
…1101111000100
310111220212212200
43000123233010
5100403222002
65001114500
71151530464
oct300335704
9114825780
1050445252
11265252a0
1214a88a30
13a5b2c80
1469b1ba4
154666b1c
hex301bbc4

50445252 has 144 divisors (see below), whose sum is σ = 154103040. Its totient is φ = 13708800.

The previous prime is 50445221. The next prime is 50445253. The reversal of 50445252 is 25254405.

50445252 is a modest number, since divided by 5252 gives 5044 as remainder.

It is not an unprimeable number, because it can be changed into a prime (50445253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210949 + ... + 211187.

It is an arithmetic number, because the mean of its divisors is an integer number (1070160).

Almost surely, 250445252 is an apocalyptic number.

50445252 is a gapful number since it is divisible by the number (52) 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 50445252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

50445252 is an abundant number, since it is smaller than the sum of its proper divisors (103657788).

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

50445252 is a wasteful number, since it uses less digits than its factorization.

50445252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 50445252 is about 7102.4821013502. The cubic root of 50445252 is about 369.4934680598.

Adding to 50445252 its reverse (25254405), we get a palindrome (75699657).

It can be divided in two parts, 5044 and 5252, that added together give a triangular number (10296 = T143).

The spelling of 50445252 in words is "fifty million, four hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 41 44 52 66 78 82 99 117 123 132 143 156 164 198 234 239 246 286 369 396 429 451 468 478 492 533 572 717 738 858 902 956 1066 1287 1353 1434 1476 1599 1716 1804 2132 2151 2574 2629 2706 2868 3107 3198 4059 4302 4797 5148 5258 5412 5863 6214 6396 7887 8118 8604 9321 9594 9799 10516 11726 12428 15774 16236 17589 18642 19188 19598 23452 23661 27963 29397 31548 34177 35178 37284 39196 47322 52767 55926 58794 68354 70356 88191 94644 102531 105534 107789 111852 117588 127387 136708 176382 205062 211068 215578 254774 307593 323367 352764 382161 410124 431156 509548 615186 646734 764322 970101 1146483 1230372 1293468 1401257 1528644 1940202 2292966 2802514 3880404 4203771 4585932 5605028 8407542 12611313 16815084 25222626 50445252