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5487286944 = 253198833407
BaseRepresentation
bin1010001110001000…
…10101101010100000
3112011102022001120210
411013010111222200
542214221140234
62304255334120
7252660112056
oct50704255240
915142261523
105487286944
112366480997
121091821340
13695ab2269
143a0aa81d6
15221b0cbe9
hex147115aa0

5487286944 has 96 divisors (see below), whose sum is σ = 15183866880. Its totient is φ = 1730356992.

The previous prime is 5487286919. The next prime is 5487286957. The reversal of 5487286944 is 4496827845.

5487286944 = T24024 + T24025 + ... + T24042.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×54872869442 = 60220636011585718272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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, 1608889 + ... + 1612295.

It is an arithmetic number, because the mean of its divisors is an integer number (158165280).

Almost surely, 25487286944 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 5487286944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7591933440).

5487286944 is an abundant number, since it is smaller than the sum of its proper divisors (9696579936).

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

5487286944 is a wasteful number, since it uses less digits than its factorization.

5487286944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4314 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 57.

The square root of 5487286944 is about 74076.2238778409. The cubic root of 5487286944 is about 1763.8130724739.

The spelling of 5487286944 in words is "five billion, four hundred eighty-seven million, two hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 883 912 1766 1824 2649 3407 3532 5298 6814 7064 10221 10596 13628 14128 16777 20442 21192 27256 28256 33554 40884 42384 50331 54512 64733 67108 81768 84768 100662 109024 129466 134216 163536 194199 201324 258932 268432 327072 388398 402648 517864 536864 776796 805296 1035728 1553592 1610592 2071456 3008381 3107184 6016762 6214368 9025143 12033524 18050286 24067048 36100572 48134096 57159239 72201144 96268192 114318478 144402288 171477717 228636956 288804576 342955434 457273912 685910868 914547824 1371821736 1829095648 2743643472 5487286944