Search a number
-
+
1142469888 = 283734337
BaseRepresentation
bin100010000011000…
…1011010100000000
32221121202111001120
41010012023110000
54314433014023
6305211032240
740211556000
oct10406132400
92847674046
101142469888
1153699259a
1227a73b680
131529007b1
14aba36000
156a4748e3
hex4418b500

1142469888 has 144 divisors (see below), whose sum is σ = 3546748800. Its totient is φ = 326344704.

The previous prime is 1142469871. The next prime is 1142469907. The reversal of 1142469888 is 8889642411.

It is a self number, because there is not a number n which added to its sum of digits gives 1142469888.

It is a congruent number.

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, 261256 + ... + 265592.

It is an arithmetic number, because the mean of its divisors is an integer number (24630200).

Almost surely, 21142469888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142469888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773374400).

1142469888 is an abundant number, since it is smaller than the sum of its proper divisors (2404278912).

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

1142469888 is an frugal number, since it uses more digits than its factorization.

1142469888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4349 counting only the distinct ones).

The product of its digits is 884736, while the sum is 51.

The square root of 1142469888 is about 33800.4421272859. The cubic root of 1142469888 is about 1045.3978134829.

The spelling of 1142469888 in words is "one billion, one hundred forty-two million, four hundred sixty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 448 588 672 686 768 784 896 1029 1176 1344 1372 1568 1792 2058 2352 2688 2744 3136 4116 4337 4704 5376 5488 6272 8232 8674 9408 10976 12544 13011 16464 17348 18816 21952 26022 30359 32928 34696 37632 43904 52044 60718 65856 69392 87808 91077 104088 121436 131712 138784 182154 208176 212513 242872 263424 277568 364308 416352 425026 485744 555136 637539 728616 832704 850052 971488 1110272 1275078 1457232 1487591 1665408 1700104 1942976 2550156 2914464 2975182 3330816 3400208 3885952 4462773 5100312 5828928 5950364 6800416 7771904 8925546 10200624 11657856 11900728 13600832 17851092 20401248 23315712 23801456 27201664 35702184 40802496 47602912 54403328 71404368 81604992 95205824 142808736 163209984 190411648 285617472 380823296 571234944 1142469888