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42557240 = 235113112
BaseRepresentation
bin1010001001010…
…1111100111000
32222002010120002
42202111330320
541343312430
64120052132
71024505405
oct242257470
988063502
1042557240
1122027980
1212304048
138a807cb
14591b2ac
153b09845
hex2895f38

42557240 has 48 divisors (see below), whose sum is σ = 104795640. Its totient is φ = 15425600.

The previous prime is 42557237. The next prime is 42557287. The reversal of 42557240 is 4275524.

It is a happy number.

42557240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×425572402 = 3622237352835200, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 136685 + ... + 136995.

Almost surely, 242557240 is an apocalyptic number.

42557240 is a gapful number since it is divisible by the number (40) 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 42557240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52397820).

42557240 is an abundant number, since it is smaller than the sum of its proper divisors (62238400).

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

42557240 is a wasteful number, since it uses less digits than its factorization.

42557240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 329 counting only the distinct ones).

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

The square root of 42557240 is about 6523.5910356183. The cubic root of 42557240 is about 349.1332020288.

The spelling of 42557240 in words is "forty-two million, five hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 311 440 622 1244 1555 2488 3110 3421 6220 6842 12440 13684 17105 27368 34210 68420 96721 136840 193442 386884 483605 773768 967210 1063931 1934420 2127862 3868840 4255724 5319655 8511448 10639310 21278620 42557240