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42561450 = 2355231113
BaseRepresentation
bin1010001001011…
…0111110101010
32222002100100000
42202112332222
541343431300
64120123430
71024523601
oct242267652
988070300
1042561450
1122030058
1212306576
138a826b9
14591ca38
153b0ac00
hex2896faa

42561450 has 144 divisors (see below), whose sum is σ = 123492096. Its totient is φ = 10886400.

The previous prime is 42561413. The next prime is 42561503. The reversal of 42561450 is 5416524.

42561450 is a `hidden beast` number, since 42 + 5 + 614 + 5 + 0 = 666.

It is a super-2 number, since 2×425614502 = 3622954052205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 376594 + ... + 376706.

It is an arithmetic number, because the mean of its divisors is an integer number (857584).

Almost surely, 242561450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42561450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61746048).

42561450 is an abundant number, since it is smaller than the sum of its proper divisors (80930646).

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

42561450 is a wasteful number, since it uses less digits than its factorization.

42561450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42561450 is about 6523.9137026788. The cubic root of 42561450 is about 349.1447143850.

Adding to 42561450 its reverse (5416524), we get a palindrome (47977974).

The spelling of 42561450 in words is "forty-two million, five hundred sixty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 81 90 93 113 135 150 155 162 186 225 226 243 270 279 310 339 405 450 465 486 558 565 675 678 775 810 837 930 1017 1130 1215 1350 1395 1550 1674 1695 2025 2034 2325 2430 2511 2790 2825 3051 3390 3503 4050 4185 4650 5022 5085 5650 6075 6102 6975 7006 7533 8370 8475 9153 10170 10509 12150 12555 13950 15066 15255 16950 17515 18306 20925 21018 25110 25425 27459 30510 31527 35030 37665 41850 45765 50850 52545 54918 62775 63054 75330 76275 87575 91530 94581 105090 125550 137295 152550 157635 175150 188325 189162 228825 262725 274590 283743 315270 376650 457650 472905 525450 567486 686475 788175 851229 945810 1372950 1418715 1576350 1702458 2364525 2837430 4256145 4729050 7093575 8512290 14187150 21280725 42561450