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42625264 = 24111271907
BaseRepresentation
bin1010001010011…
…0100011110000
32222012120212111
42202212203300
541403002024
64121335104
71025210623
oct242464360
988176774
1042625264
1122073aa0
1212337494
138aa5766
145937dba
153b1ea94
hex28a68f0

42625264 has 40 divisors (see below), whose sum is σ = 90851328. Its totient is φ = 19212480.

The previous prime is 42625259. The next prime is 42625267. The reversal of 42625264 is 46252624.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42625267) by changing a digit.

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, 21399 + ... + 23305.

Almost surely, 242625264 is an apocalyptic number.

42625264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42625264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45425664).

42625264 is an abundant number, since it is smaller than the sum of its proper divisors (48226064).

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

42625264 is a wasteful number, since it uses less digits than its factorization.

42625264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2047 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

The square root of 42625264 is about 6528.8026467339. The cubic root of 42625264 is about 349.3191225629.

Adding to 42625264 its reverse (46252624), we get a palindrome (88877888).

The spelling of 42625264 in words is "forty-two million, six hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 127 176 254 508 1016 1397 1907 2032 2794 3814 5588 7628 11176 15256 20977 22352 30512 41954 83908 167816 242189 335632 484378 968756 1937512 2664079 3875024 5328158 10656316 21312632 42625264