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1381594752 = 27331492683
BaseRepresentation
bin101001001011001…
…0111011010000000
310120021201021201000
41102112113122000
510312142013002
6345032212000
746144235016
oct12226273200
93507637630
101381594752
1164996864a
1232683a000
131903061b5
14d16c08b6
158145b61c
hex52597680

1381594752 has 128 divisors (see below), whose sum is σ = 4106520000. Its totient is φ = 457270272.

The previous prime is 1381594741. The next prime is 1381594757. The reversal of 1381594752 is 2574951831.

1381594752 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 594 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1381594698 and 1381594707.

It is not an unprimeable number, because it can be changed into a prime (1381594757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513603 + ... + 516285.

Almost surely, 21381594752 is an apocalyptic number.

1381594752 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 1381594752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053260000).

1381594752 is an abundant number, since it is smaller than the sum of its proper divisors (2724925248).

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

1381594752 is a wasteful number, since it uses less digits than its factorization.

1381594752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2837 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 1381594752 is about 37169.8096847428. The cubic root of 1381594752 is about 1113.7649800160.

The spelling of 1381594752 in words is "one billion, three hundred eighty-one million, five hundred ninety-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 149 192 216 288 298 384 432 447 576 596 864 894 1152 1192 1341 1728 1788 2384 2682 2683 3456 3576 4023 4768 5364 5366 7152 8046 8049 9536 10728 10732 14304 16092 16098 19072 21456 21464 24147 28608 32184 32196 42912 42928 48294 57216 64368 64392 72441 85824 85856 96588 128736 128784 144882 171648 171712 193176 257472 257568 289764 343424 386352 399767 514944 515136 579528 772704 799534 1030272 1159056 1199301 1545408 1599068 2318112 2398602 3090816 3198136 3597903 4636224 4797204 6396272 7195806 9272448 9594408 10793709 12792544 14391612 19188816 21587418 25585088 28783224 38377632 43174836 51170176 57566448 76755264 86349672 115132896 153510528 172699344 230265792 345398688 460531584 690797376 1381594752