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5424492672 = 27334673361
BaseRepresentation
bin1010000110101001…
…10011000010000000
3112000001010210001000
411003110303002000
542102132231142
62254133412000
7251265266304
oct50324630200
915001123030
105424492672
112333a916a5
12107479a000
13685a974a1
143965ddd04
1521b35714c
hex143533080

5424492672 has 128 divisors (see below), whose sum is σ = 16048843200. Its totient is φ = 1803755520.

The previous prime is 5424492641. The next prime is 5424492673. The reversal of 5424492672 is 2762944245.

5424492672 is a `hidden beast` number, since 542 + 4 + 49 + 2 + 67 + 2 = 666.

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

It is a super-4 number, since 4×54244926724 (a number of 40 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (5424492673) 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, 1612272 + ... + 1615632.

Almost surely, 25424492672 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 5424492672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8024421600).

5424492672 is an abundant number, since it is smaller than the sum of its proper divisors (10624350528).

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

5424492672 is a wasteful number, since it uses less digits than its factorization.

5424492672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3833 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 5424492672 is about 73651.1552658884. The cubic root of 5424492672 is about 1757.0591244879.

The spelling of 5424492672 in words is "five billion, four hundred twenty-four million, four hundred ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 467 576 864 934 1152 1401 1728 1868 2802 3361 3456 3736 4203 5604 6722 7472 8406 10083 11208 12609 13444 14944 16812 20166 22416 25218 26888 29888 30249 33624 40332 44832 50436 53776 59776 60498 67248 80664 89664 90747 100872 107552 120996 134496 161328 179328 181494 201744 215104 241992 268992 322656 362988 403488 430208 483984 537984 645312 725976 806976 967968 1290624 1451952 1569587 1613952 1935936 2903904 3139174 3871872 4708761 5807808 6278348 9417522 11615616 12556696 14126283 18835044 25113392 28252566 37670088 42378849 50226784 56505132 75340176 84757698 100453568 113010264 150680352 169515396 200907136 226020528 301360704 339030792 452041056 602721408 678061584 904082112 1356123168 1808164224 2712246336 5424492672