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5405272224 = 2531147108907
BaseRepresentation
bin1010000100010110…
…11110100010100000
3111221200222021112120
411002023132202200
542032222202344
62252205424240
7250643025102
oct50213364240
914850867476
105405272224
112324154030
12106a26b080
13681ac7b41
14393c39572
1521980c219
hex1422de8a0

5405272224 has 96 divisors (see below), whose sum is σ = 15808214016. Its totient is φ = 1603096320.

The previous prime is 5405272219. The next prime is 5405272237. The reversal of 5405272224 is 4222725045.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 4822 + ... + 104085.

It is an arithmetic number, because the mean of its divisors is an integer number (164668896).

Almost surely, 25405272224 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 5405272224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7904107008).

5405272224 is an abundant number, since it is smaller than the sum of its proper divisors (10402941792).

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

5405272224 is a wasteful number, since it uses less digits than its factorization.

5405272224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108978 (or 108970 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 33.

The square root of 5405272224 is about 73520.5564723228. The cubic root of 5405272224 is about 1754.9814230061.

Adding to 5405272224 its reverse (4222725045), we get a palindrome (9627997269).

The spelling of 5405272224 in words is "five billion, four hundred five million, two hundred seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 264 282 352 376 517 528 564 752 1034 1056 1128 1504 1551 2068 2256 3102 4136 4512 6204 8272 12408 16544 24816 49632 108907 217814 326721 435628 653442 871256 1197977 1306884 1742512 2395954 2613768 3485024 3593931 4791908 5118629 5227536 7187862 9583816 10237258 10455072 14375724 15355887 19167632 20474516 28751448 30711774 38335264 40949032 56304919 57502896 61423548 81898064 112609838 115005792 122847096 163796128 168914757 225219676 245694192 337829514 450439352 491388384 675659028 900878704 1351318056 1801757408 2702636112 5405272224