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7249046084 = 2272891492789
BaseRepresentation
bin1101100000001001…
…11010101001000100
3200201012100200210022
412300010322221010
5104321223433314
63155152114312
7344431606100
oct66004725104
920635320708
107249046084
11308a996685
1214a3835998
138b6aa33a7
144caa68900
152c661078e
hex1b013aa44

7249046084 has 72 divisors (see below), whose sum is σ = 15028335000. Its totient is φ = 3050116608.

The previous prime is 7249046071. The next prime is 7249046089. The reversal of 7249046084 is 4806409427.

It can be written as a sum of positive squares in 4 ways, for example, as 39337984 + 7209708100 = 6272^2 + 84910^2 .

It is not an unprimeable number, because it can be changed into a prime (7249046089) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2597762 + ... + 2600550.

It is an arithmetic number, because the mean of its divisors is an integer number (208726875).

Almost surely, 27249046084 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 7249046084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514167500).

7249046084 is an abundant number, since it is smaller than the sum of its proper divisors (7779288916).

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

7249046084 is a wasteful number, since it uses less digits than its factorization.

7249046084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 7249046084 is about 85141.3300577340. The cubic root of 7249046084 is about 1935.3534317364.

The spelling of 7249046084 in words is "seven billion, two hundred forty-nine million, forty-six thousand, eighty-four".

Divisors: 1 2 4 7 14 28 49 89 98 149 178 196 298 356 596 623 1043 1246 2086 2492 2789 4172 4361 5578 7301 8722 11156 13261 14602 17444 19523 26522 29204 39046 53044 78092 92827 136661 185654 248221 273322 371308 415561 496442 546644 649789 831122 992884 1299578 1662244 1737547 2599156 2908927 3475094 5817854 6950188 11635708 12162829 20362489 24325658 36984929 40724978 48651316 73969858 81449956 147939716 258894503 517789006 1035578012 1812261521 3624523042 7249046084