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1042799328 = 253231271431
BaseRepresentation
bin111110001001111…
…101101011100000
32200200012200202100
4332021331223200
54113424034303
6251250450400
734561435164
oct7611755340
92620180670
101042799328
114956a662a
12251293a00
13138073c2c
149c6ccca4
15618378a3
hex3e27dae0

1042799328 has 144 divisors (see below), whose sum is σ = 3079544832. Its totient is φ = 334368000.

The previous prime is 1042799311. The next prime is 1042799333. The reversal of 1042799328 is 8239972401.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2419273 + ... + 2419703.

It is an arithmetic number, because the mean of its divisors is an integer number (21385728).

Almost surely, 21042799328 is an apocalyptic number.

1042799328 is a gapful number since it is divisible by the number (18) 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 1042799328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539772416).

1042799328 is an abundant number, since it is smaller than the sum of its proper divisors (2036745504).

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

1042799328 is a wasteful number, since it uses less digits than its factorization.

1042799328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1042799328 is about 32292.4035649253. The cubic root of 1042799328 is about 1014.0676168394.

The spelling of 1042799328 in words is "one billion, forty-two million, seven hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 271 279 288 372 431 496 542 558 744 813 862 992 1084 1116 1293 1488 1626 1724 2168 2232 2439 2586 2976 3252 3448 3879 4336 4464 4878 5172 6504 6896 7758 8401 8672 8928 9756 10344 13008 13361 13792 15516 16802 19512 20688 25203 26016 26722 31032 33604 39024 40083 41376 50406 53444 62064 67208 75609 78048 80166 100812 106888 116801 120249 124128 134416 151218 160332 201624 213776 233602 240498 268832 302436 320664 350403 403248 427552 467204 480996 604872 641328 700806 806496 934408 961992 1051209 1209744 1282656 1401612 1868816 1923984 2102418 2419488 2803224 3620831 3737632 3847968 4204836 5606448 7241662 8409672 10862493 11212896 14483324 16819344 21724986 28966648 32587479 33638688 43449972 57933296 65174958 86899944 115866592 130349916 173799888 260699832 347599776 521399664 1042799328