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42277242 = 23719311709
BaseRepresentation
bin1010000101000…
…1100101111010
32221112220110210
42201101211322
541310332432
64110051550
71022231160
oct241214572
987486423
1042277242
1121956577
12121a9bb6
1389b3227
145887230
153aa18cc
hex285197a

42277242 has 64 divisors (see below), whose sum is σ = 105062400. Its totient is φ = 11067840.

The previous prime is 42277189. The next prime is 42277247. The reversal of 42277242 is 24277224.

It is a super-2 number, since 2×422772422 = 3574730382253128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42277247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23884 + ... + 25592.

It is an arithmetic number, because the mean of its divisors is an integer number (1641600).

Almost surely, 242277242 is an apocalyptic number.

42277242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42277242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52531200).

42277242 is an abundant number, since it is smaller than the sum of its proper divisors (62785158).

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

42277242 is a wasteful number, since it uses less digits than its factorization.

42277242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771.

The product of its digits is 12544, while the sum is 30.

The square root of 42277242 is about 6502.0952007795. The cubic root of 42277242 is about 348.3658294559.

The spelling of 42277242 in words is "forty-two million, two hundred seventy-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 266 399 434 589 651 798 1178 1302 1709 1767 3418 3534 4123 5127 8246 10254 11963 12369 23926 24738 32471 35889 52979 64942 71778 97413 105958 158937 194826 227297 317874 370853 454594 681891 741706 1006601 1112559 1363782 2013202 2225118 3019803 6039606 7046207 14092414 21138621 42277242