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1042261536 = 25353792593
BaseRepresentation
bin111110000111111…
…010011000100000
32200122012101001010
4332013322120200
54113304332121
6251231140520
734554035241
oct7607723040
92618171033
101042261536
11495369578
12251074740
13137c16204
149c5cccc8
156177d376
hex3e1fa620

1042261536 has 96 divisors (see below), whose sum is σ = 2823932160. Its totient is φ = 336420864.

The previous prime is 1042261523. The next prime is 1042261541. The reversal of 1042261536 is 6351622401.

1042261536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 400656 + ... + 403248.

It is an arithmetic number, because the mean of its divisors is an integer number (29415960).

Almost surely, 21042261536 is an apocalyptic number.

1042261536 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 1042261536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411966080).

1042261536 is an abundant number, since it is smaller than the sum of its proper divisors (1781670624).

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

1042261536 is a wasteful number, since it uses less digits than its factorization.

1042261536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1042261536 is about 32284.0755791458. The cubic root of 1042261536 is about 1013.8932620317.

Adding to 1042261536 its reverse (6351622401), we get a palindrome (7393883937).

The spelling of 1042261536 in words is "one billion, forty-two million, two hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 79 96 106 158 159 212 237 316 318 424 474 632 636 848 948 1264 1272 1696 1896 2528 2544 2593 3792 4187 5088 5186 7584 7779 8374 10372 12561 15558 16748 20744 25122 31116 33496 41488 50244 62232 66992 82976 100488 124464 133984 137429 200976 204847 248928 274858 401952 409694 412287 549716 614541 819388 824574 1099432 1229082 1638776 1649148 2198864 2458164 3277552 3298296 4397728 4916328 6555104 6596592 9832656 10856891 13193184 19665312 21713782 32570673 43427564 65141346 86855128 130282692 173710256 260565384 347420512 521130768 1042261536