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42260384 = 252367857
BaseRepresentation
bin1010000100110…
…1011110100000
32221112001100102
42201031132200
541304313014
64105441532
71022131055
oct241153640
987461312
1042260384
1121944941
12121a02a8
1389a865a
14588102c
153a9b8de
hex284d7a0

42260384 has 48 divisors (see below), whose sum is σ = 88216128. Its totient is φ = 19886592.

The previous prime is 42260353. The next prime is 42260429. The reversal of 42260384 is 48306224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48884 + ... + 49740.

It is an arithmetic number, because the mean of its divisors is an integer number (1837836).

Almost surely, 242260384 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 42260384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44108064).

42260384 is an abundant number, since it is smaller than the sum of its proper divisors (45955744).

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

42260384 is a wasteful number, since it uses less digits than its factorization.

42260384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 42260384 is about 6500.7987201574. The cubic root of 42260384 is about 348.3195198132.

It can be divided in two parts, 422 and 60384, that added together give a palindrome (60806).

The spelling of 42260384 in words is "forty-two million, two hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 67 92 134 184 268 368 536 736 857 1072 1541 1714 2144 3082 3428 6164 6856 12328 13712 19711 24656 27424 39422 49312 57419 78844 114838 157688 229676 315376 459352 630752 918704 1320637 1837408 2641274 5282548 10565096 21130192 42260384