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42441440 = 2551923607
BaseRepresentation
bin1010000111100…
…1101011100000
32221212020201012
42201321223200
541331111230
64113400052
71023513656
oct241715340
987766635
1042441440
1121a58978
1212269028
138a3cba2
1458cadd6
153ad5395
hex2879ae0

42441440 has 96 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 15358464.

The previous prime is 42441403. The next prime is 42441461. The reversal of 42441440 is 4414424.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 69617 + ... + 70223.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 242441440 is an apocalyptic number.

42441440 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 42441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

42441440 is an abundant number, since it is smaller than the sum of its proper divisors (67874080).

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

42441440 is a wasteful number, since it uses less digits than its factorization.

42441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 42441440 is about 6514.7095100242. The cubic root of 42441440 is about 348.8162457714.

Adding to 42441440 its reverse (4414424), we get a palindrome (46855864).

The spelling of 42441440 in words is "forty-two million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 76 80 92 95 115 152 160 184 190 230 304 368 380 437 460 607 608 736 760 874 920 1214 1520 1748 1840 2185 2428 3035 3040 3496 3680 4370 4856 6070 6992 8740 9712 11533 12140 13961 13984 17480 19424 23066 24280 27922 34960 46132 48560 55844 57665 69805 69920 92264 97120 111688 115330 139610 184528 223376 230660 265259 279220 369056 446752 461320 530518 558440 922640 1061036 1116880 1326295 1845280 2122072 2233760 2652590 4244144 5305180 8488288 10610360 21220720 42441440