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1042443200 = 26523121017
BaseRepresentation
bin111110001000100…
…110101111000000
32200122112121020102
4332020212233000
54113331140300
6251235101532
734555423001
oct7610465700
92618477212
101042443200
11495483007
122511418a8
13137c7aac6
149c6391a8
15617b70d5
hex3e226bc0

1042443200 has 84 divisors (see below), whose sum is σ = 2647931712. Its totient is φ = 403507200.

The previous prime is 1042443161. The next prime is 1042443203. The reversal of 1042443200 is 23442401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042443203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39092 + ... + 60108.

Almost surely, 21042443200 is an apocalyptic number.

1042443200 is a gapful number since it is divisible by the number (10) 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 1042443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323965856).

1042443200 is an abundant number, since it is smaller than the sum of its proper divisors (1605488512).

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

1042443200 is a wasteful number, since it uses less digits than its factorization.

1042443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21070 (or 21055 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1042443200 is about 32286.8889798940. Note that the first 3 decimals coincide. The cubic root of 1042443200 is about 1013.9521650993.

Adding to 1042443200 its reverse (23442401), we get a palindrome (1065885601).

The spelling of 1042443200 in words is "one billion, forty-two million, four hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 155 160 200 248 310 320 400 496 620 775 800 992 1240 1550 1600 1984 2480 3100 4960 6200 9920 12400 21017 24800 42034 49600 84068 105085 168136 210170 336272 420340 525425 651527 672544 840680 1050850 1303054 1345088 1681360 2101700 2606108 3257635 3362720 4203400 5212216 6515270 6725440 8406800 10424432 13030540 16288175 16813600 20848864 26061080 32576350 33627200 41697728 52122160 65152700 104244320 130305400 208488640 260610800 521221600 1042443200