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42455552 = 29101821
BaseRepresentation
bin1010000111110…
…1001000000000
32221212222001212
42201331020000
541332034202
64113545252
71023603056
oct241751000
987788055
1042455552
1121a68537
1212275228
138a46439
1458d21d6
153ad9652
hex287d200

42455552 has 40 divisors (see below), whose sum is σ = 85772412. Its totient is φ = 20992000.

The previous prime is 42455551. The next prime is 42455587. The reversal of 42455552 is 25555424.

It can be written as a sum of positive squares in 2 ways, for example, as 41165056 + 1290496 = 6416^2 + 1136^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (42455551) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51302 + ... + 52122.

Almost surely, 242455552 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 42455552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42886206).

42455552 is an abundant number, since it is smaller than the sum of its proper divisors (43316860).

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

42455552 is an equidigital number, since it uses as much as digits as its factorization.

42455552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 924 counting only the distinct ones).

The product of its digits is 40000, while the sum is 32.

The square root of 42455552 is about 6515.7925074391. The cubic root of 42455552 is about 348.8549025604.

The spelling of 42455552 in words is "forty-two million, four hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 821 1616 1642 3232 3284 6464 6568 12928 13136 25856 26272 51712 52544 82921 105088 165842 210176 331684 420352 663368 1326736 2653472 5306944 10613888 21227776 42455552