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2739153408 = 29313113613
BaseRepresentation
bin1010001101000100…
…0010101000000000
321001220012102002020
42203101002220000
521102210402113
61131445321440
7124610263665
oct24321025000
97056172066
102739153408
1111861a9552
12645406280
13348644b44
141bdb05a6c
1511071b023
hexa3442a00

2739153408 has 80 divisors (see below), whose sum is σ = 7353520416. Its totient is φ = 906014720.

The previous prime is 2739153353. The next prime is 2739153413. The reversal of 2739153408 is 8043519372.

It is a super-2 number, since 2×27391534082 = 15005922785116028928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2739153408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194410 + ... + 208022.

Almost surely, 22739153408 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 2739153408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676760208).

2739153408 is an abundant number, since it is smaller than the sum of its proper divisors (4614367008).

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

2739153408 is a wasteful number, since it uses less digits than its factorization.

2739153408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13765 (or 13749 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2739153408 is about 52336.9220340669. The cubic root of 2739153408 is about 1399.1752639055.

The spelling of 2739153408 in words is "two billion, seven hundred thirty-nine million, one hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 512 524 768 786 1048 1536 1572 2096 3144 4192 6288 8384 12576 13613 16768 25152 27226 33536 40839 50304 54452 67072 81678 100608 108904 163356 201216 217808 326712 435616 653424 871232 1306848 1742464 1783303 2613696 3484928 3566606 5227392 5349909 6969856 7133212 10454784 10699818 14266424 20909568 21399636 28532848 42799272 57065696 85598544 114131392 171197088 228262784 342394176 456525568 684788352 913051136 1369576704 2739153408