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1147313472 = 26331533637
BaseRepresentation
bin100010001100010…
…1001110101000000
32221221212120012120
41010120221311000
54322203012342
6305502524240
740301001144
oct10430516500
92857776176
101147313472
115396a0658
12280296680
13153908316
14ac537224
156aaceaec
hex44629d40

1147313472 has 112 divisors (see below), whose sum is σ = 3193523712. Its totient is φ = 363018240.

The previous prime is 1147313471. The next prime is 1147313477. The reversal of 1147313472 is 2743137411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1147313471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313638 + ... + 317274.

Almost surely, 21147313472 is an apocalyptic number.

1147313472 is a gapful number since it is divisible by the number (12) 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 1147313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596761856).

1147313472 is an abundant number, since it is smaller than the sum of its proper divisors (2046210240).

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

1147313472 is a wasteful number, since it uses less digits than its factorization.

1147313472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3726 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 1147313472 is about 33872.0160604591. The cubic root of 1147313472 is about 1046.8730772454.

The spelling of 1147313472 in words is "one billion, one hundred forty-seven million, three hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 93 96 106 124 159 186 192 212 248 318 372 424 496 636 744 848 992 1272 1488 1643 1696 1984 2544 2976 3286 3392 3637 4929 5088 5952 6572 7274 9858 10176 10911 13144 14548 19716 21822 26288 29096 39432 43644 52576 58192 78864 87288 105152 112747 116384 157728 174576 192761 225494 232768 315456 338241 349152 385522 450988 578283 676482 698304 771044 901976 1156566 1352964 1542088 1803952 2313132 2705928 3084176 3607904 4626264 5411856 5975591 6168352 7215808 9252528 10823712 11951182 12336704 17926773 18505056 21647424 23902364 35853546 37010112 47804728 71707092 95609456 143414184 191218912 286828368 382437824 573656736 1147313472