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42214040 = 23511372593
BaseRepresentation
bin1010000100001…
…0001010011000
32221102200202222
42201002022120
541301322130
64104443212
71021546001
oct241021230
987380688
1042214040
1121913040
1212179508
13899052b
14586c1a8
153a8cce5
hex2842298

42214040 has 64 divisors (see below), whose sum is σ = 106457760. Its totient is φ = 14929920.

The previous prime is 42214031. The next prime is 42214057. The reversal of 42214040 is 4041224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14984 + ... + 17576.

Almost surely, 242214040 is an apocalyptic number.

42214040 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 42214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53228880).

42214040 is an abundant number, since it is smaller than the sum of its proper divisors (64243720).

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

42214040 is a wasteful number, since it uses less digits than its factorization.

42214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 42214040 is about 6497.2332573181. The cubic root of 42214040 is about 348.1921473769.

Adding to 42214040 its reverse (4041224), we get a palindrome (46255264).

The spelling of 42214040 in words is "forty-two million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 2035 2593 3256 4070 5186 8140 10372 12965 16280 20744 25930 28523 51860 57046 95941 103720 114092 142615 191882 228184 285230 383764 479705 570460 767528 959410 1055351 1140920 1918820 2110702 3837640 4221404 5276755 8442808 10553510 21107020 42214040