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42101440 = 265149883
BaseRepresentation
bin1010000010011…
…0101011000000
32221012222022121
42200212223000
541234221230
64102214024
71020566503
oct240465300
987188277
1042101440
1121846487
1212124314
1389511c4
14583d13a
153a6977a
hex2826ac0

42101440 has 56 divisors (see below), whose sum is σ = 101041200. Its totient is φ = 16708608.

The previous prime is 42101419. The next prime is 42101467. The reversal of 42101440 is 4410124.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47239 + ... + 48121.

Almost surely, 242101440 is an apocalyptic number.

42101440 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 42101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50520600).

42101440 is an abundant number, since it is smaller than the sum of its proper divisors (58939760).

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

42101440 is a wasteful number, since it uses less digits than its factorization.

42101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 42101440 is about 6488.5622444421. The cubic root of 42101440 is about 347.8822872233.

Adding to 42101440 its reverse (4410124), we get a palindrome (46511564).

The spelling of 42101440 in words is "forty-two million, one hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 149 160 298 320 596 745 883 1192 1490 1766 2384 2980 3532 4415 4768 5960 7064 8830 9536 11920 14128 17660 23840 28256 35320 47680 56512 70640 131567 141280 263134 282560 526268 657835 1052536 1315670 2105072 2631340 4210144 5262680 8420288 10525360 21050720 42101440