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42051240 = 233257113741
BaseRepresentation
bin1010000001101…
…0011010101000
32221010102110100
42200122122220
541231114430
64101145400
71020300240
oct240323250
987112410
1042051240
11218117a0
12120bb260
1389343ba
145828b20
153a59960
hex281a6a8

42051240 has 384 divisors, whose sum is σ = 179262720. Its totient is φ = 8294400.

The previous prime is 42051239. The next prime is 42051271. The reversal of 42051240 is 4215024.

42051240 is a `hidden beast` number, since 420 + 5 + 1 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1025620 + ... + 1025660.

It is an arithmetic number, because the mean of its divisors is an integer number (466830).

Almost surely, 242051240 is an apocalyptic number.

42051240 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 42051240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

42051240 is an abundant number, since it is smaller than the sum of its proper divisors (137211480).

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

42051240 is a wasteful number, since it uses less digits than its factorization.

42051240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42051240 is about 6484.6927452270. The cubic root of 42051240 is about 347.7439654587.

Adding to 42051240 its reverse (4215024), we get a palindrome (46266264).

It can be divided in two parts, 4205 and 1240, that added together give a palindrome (5445).

The spelling of 42051240 in words is "forty-two million, fifty-one thousand, two hundred forty".