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42450752 = 261076199
BaseRepresentation
bin1010000111101…
…1111101000000
32221212201111002
42201323331000
541331411002
64113511132
71023553061
oct241737500
987781432
1042450752
1121a64973
12122724a8
138a441b6
1458d0568
153ad8002
hex287bf40

42450752 has 28 divisors (see below), whose sum is σ = 85039200. Its totient is φ = 21023616.

The previous prime is 42450743. The next prime is 42450773. The reversal of 42450752 is 25705424.

It is a happy number.

42450752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3749 + ... + 9947.

Almost surely, 242450752 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 42450752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42519600).

42450752 is an abundant number, since it is smaller than the sum of its proper divisors (42588448).

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

42450752 is a wasteful number, since it uses less digits than its factorization.

42450752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 42450752 is about 6515.4241611732. The cubic root of 42450752 is about 348.8417549542.

The spelling of 42450752 in words is "forty-two million, four hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 107 214 428 856 1712 3424 6199 6848 12398 24796 49592 99184 198368 396736 663293 1326586 2653172 5306344 10612688 21225376 42450752