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5449374432 = 2532314671307
BaseRepresentation
bin1010001001100111…
…01101101011100000
3112001202221220101200
411010303231223200
542130014440212
62300423001200
7252016630005
oct50463555340
915052856350
105449374432
112347036737
121080b99200
1368ac99918
14399a398ac
1521d61e6dc
hex144cedae0

5449374432 has 144 divisors (see below), whose sum is σ = 16043069952. Its totient is φ = 1752756480.

The previous prime is 5449374419. The next prime is 5449374443. The reversal of 5449374432 is 2344739445.

5449374432 is a `hidden beast` number, since 54 + 493 + 74 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4168723 + ... + 4170029.

It is an arithmetic number, because the mean of its divisors is an integer number (111410208).

Almost surely, 25449374432 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 5449374432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8021534976).

5449374432 is an abundant number, since it is smaller than the sum of its proper divisors (10593695520).

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

5449374432 is a wasteful number, since it uses less digits than its factorization.

5449374432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1810 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 5449374432 is about 73819.8782984638. The cubic root of 5449374432 is about 1759.7415288476.

The spelling of 5449374432 in words is "five billion, four hundred forty-nine million, three hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 467 496 558 744 934 992 1116 1307 1401 1488 1868 2232 2614 2802 2976 3736 3921 4203 4464 5228 5604 7472 7842 8406 8928 10456 11208 11763 14477 14944 15684 16812 20912 22416 23526 28954 31368 33624 40517 41824 43431 44832 47052 57908 62736 67248 81034 86862 94104 115816 121551 125472 130293 134496 162068 173724 188208 231632 243102 260586 324136 347448 364653 376416 463264 486204 521172 610369 648272 694896 729306 972408 1042344 1220738 1296544 1389792 1458612 1831107 1944816 2084688 2441476 2917224 3662214 3889632 4169376 4882952 5493321 5834448 7324428 9765904 10986642 11668896 14648856 18921439 19531808 21973284 29297712 37842878 43946568 56764317 58595424 75685756 87893136 113528634 151371512 170292951 175786272 227057268 302743024 340585902 454114536 605486048 681171804 908229072 1362343608 1816458144 2724687216 5449374432