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42526420 = 22531113607
BaseRepresentation
bin1010001000111…
…0011011010100
32222000120021121
42202032123110
541341321140
64115253324
71024316506
oct242163324
988016247
1042526420
1122006802
12122aa244
138a6c781
14590dd76
153b0064a
hex288e6d4

42526420 has 48 divisors (see below), whose sum is σ = 93155328. Its totient is φ = 16289280.

The previous prime is 42526409. The next prime is 42526423. The reversal of 42526420 is 2462524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42526423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69757 + ... + 70363.

It is an arithmetic number, because the mean of its divisors is an integer number (1940736).

Almost surely, 242526420 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 42526420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46577664).

42526420 is an abundant number, since it is smaller than the sum of its proper divisors (50628908).

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

42526420 is a wasteful number, since it uses less digits than its factorization.

42526420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 42526420 is about 6521.2284118868. The cubic root of 42526420 is about 349.0489007923.

Adding to 42526420 its reverse (2462524), we get a palindrome (44988944).

The spelling of 42526420 in words is "forty-two million, five hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 113 124 155 226 310 452 565 607 620 1130 1214 2260 2428 3035 3503 6070 7006 12140 14012 17515 18817 35030 37634 68591 70060 75268 94085 137182 188170 274364 342955 376340 685910 1371820 2126321 4252642 8505284 10631605 21263210 42526420