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42044640 = 2535117963
BaseRepresentation
bin1010000001100…
…0110011100000
32221010002101220
42200120303200
541230412030
64101055040
71020242061
oct240306340
987102356
1042044640
1121807840
12120b7480
1389313b1
145826568
153a57a10
hex2818ce0

42044640 has 96 divisors (see below), whose sum is σ = 144498816. Its totient is φ = 10191360.

The previous prime is 42044633. The next prime is 42044647. The reversal of 42044640 is 4644024.

It is an interprime number because it is at equal distance from previous prime (42044633) and next prime (42044647).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42044640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42044647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1299 + ... + 9261.

It is an arithmetic number, because the mean of its divisors is an integer number (1505196).

Almost surely, 242044640 is an apocalyptic number.

42044640 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 42044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72249408).

42044640 is an abundant number, since it is smaller than the sum of its proper divisors (102454176).

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

42044640 is a wasteful number, since it uses less digits than its factorization.

42044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992 (or 7984 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 42044640 is about 6484.1838345315. The cubic root of 42044640 is about 347.7257715421.

Adding to 42044640 its reverse (4644024), we get a palindrome (46688664).

The spelling of 42044640 in words is "forty-two million, forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 7963 15926 23889 31852 39815 47778 63704 79630 87593 95556 119445 127408 159260 175186 191112 238890 254816 262779 318520 350372 382224 437965 477780 525558 637040 700744 764448 875930 955560 1051116 1274080 1313895 1401488 1751860 1911120 2102232 2627790 2802976 3503720 3822240 4204464 5255580 7007440 8408928 10511160 14014880 21022320 42044640