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1040043456 = 26332232699
BaseRepresentation
bin111101111111011…
…100110111000000
32200111000200102000
4331333130313000
54112222342311
6251111424000
734526136444
oct7577346700
92614020360
101040043456
11494094051
12250385000
1313761a73a
149c1b2824
1561491056
hex3dfdcdc0

1040043456 has 112 divisors (see below), whose sum is σ = 3072384000. Its totient is φ = 344998656.

The previous prime is 1040043439. The next prime is 1040043457. The reversal of 1040043456 is 6543400401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040043457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383995 + ... + 386693.

It is an arithmetic number, because the mean of its divisors is an integer number (27432000).

Almost surely, 21040043456 is an apocalyptic number.

1040043456 is a gapful number since it is divisible by the number (16) 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 1040043456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536192000).

1040043456 is an abundant number, since it is smaller than the sum of its proper divisors (2032340544).

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

1040043456 is a wasteful number, since it uses less digits than its factorization.

1040043456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1040043456 is about 32249.7047428345. The cubic root of 1040043456 is about 1013.1735151156.

Adding to 1040043456 its reverse (6543400401), we get a palindrome (7583443857).

The spelling of 1040043456 in words is "one billion, forty million, forty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 223 288 432 446 576 669 864 892 1338 1728 1784 2007 2676 2699 3568 4014 5352 5398 6021 7136 8028 8097 10704 10796 12042 14272 16056 16194 21408 21592 24084 24291 32112 32388 42816 43184 48168 48582 64224 64776 72873 86368 96336 97164 128448 129552 145746 172736 192672 194328 259104 291492 385344 388656 518208 582984 601877 777312 1165968 1203754 1554624 1805631 2331936 2407508 3611262 4663872 4815016 5416893 7222524 9630032 10833786 14445048 16250679 19260064 21667572 28890096 32501358 38520128 43335144 57780192 65002716 86670288 115560384 130005432 173340576 260010864 346681152 520021728 1040043456