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42533550 = 23252313049
BaseRepresentation
bin1010001001000…
…0001010101110
32222000221001200
42202100022232
541342033200
64115350330
71024346343
oct242201256
988027050
1042533550
11220110a4
12122b23a6
138a72aa7
1459127ca
153b02800
hex28902ae

42533550 has 72 divisors (see below), whose sum is σ = 117998400. Its totient is φ = 10972800.

The previous prime is 42533527. The next prime is 42533551. The reversal of 42533550 is 5533524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42533551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12426 + ... + 15474.

Almost surely, 242533550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42533550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58999200).

42533550 is an abundant number, since it is smaller than the sum of its proper divisors (75464850).

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

42533550 is a wasteful number, since it uses less digits than its factorization.

42533550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 42533550 is about 6521.7750651184. The cubic root of 42533550 is about 349.0684069376.

The spelling of 42533550 in words is "forty-two million, five hundred thirty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 1395 1550 2325 2790 3049 4650 6098 6975 9147 13950 15245 18294 27441 30490 45735 54882 76225 91470 94519 137205 152450 189038 228675 274410 283557 457350 472595 567114 686025 850671 945190 1372050 1417785 1701342 2362975 2835570 4253355 4725950 7088925 8506710 14177850 21266775 42533550