[go: up one dir, main page]

Search a number
-
+
42555456 = 26348209
BaseRepresentation
bin1010001001010…
…1100001000000
32222002001010000
42202111201000
541343233311
64120040000
71024500246
oct242254100
988061100
1042555456
11220265a9
1212303000
138a7ca58
14591a796
153b09056
hex2895840

42555456 has 70 divisors (see below), whose sum is σ = 126163070. Its totient is φ = 14183424.

The previous prime is 42555427. The next prime is 42555473. The reversal of 42555456 is 65455524.

It can be written as a sum of positive squares in only one way, i.e., 26873856 + 15681600 = 5184^2 + 3960^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 42555456.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1080 + ... + 9288.

Almost surely, 242555456 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 42555456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63081535).

42555456 is an abundant number, since it is smaller than the sum of its proper divisors (83607614).

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

42555456 is an equidigital number, since it uses as much as digits as its factorization.

42555456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8233 (or 8214 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The square root of 42555456 is about 6523.4542996790. The cubic root of 42555456 is about 349.1283234047.

The spelling of 42555456 in words is "forty-two million, five hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 8209 16418 24627 32836 49254 65672 73881 98508 131344 147762 197016 221643 262688 295524 394032 443286 525376 591048 664929 788064 886572 1182096 1329858 1576128 1773144 2364192 2659716 3546288 4728384 5319432 7092576 10638864 14185152 21277728 42555456