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9490457304 = 2332314878731
BaseRepresentation
bin10001101011010110…
…01110001011011000
3220111101222011221200
420311223032023120
5123414024113204
64205421234200
7454116361506
oct106553161330
926441864850
109490457304
114030130049
121a0a402960
13b83273a13
14660605676
153a82ac539
hex235ace2d8

9490457304 has 96 divisors (see below), whose sum is σ = 26589987840. Its totient is φ = 3054801600.

The previous prime is 9490457279. The next prime is 9490457357. The reversal of 9490457304 is 4037540949.

It is a happy number.

9490457304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 9490457304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1082619 + ... + 1091349.

It is an arithmetic number, because the mean of its divisors is an integer number (276979040).

Almost surely, 29490457304 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 9490457304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13294993920).

9490457304 is an abundant number, since it is smaller than the sum of its proper divisors (17099530536).

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

9490457304 is a wasteful number, since it uses less digits than its factorization.

9490457304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9261 (or 9254 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 9490457304 is about 97418.9781510769. The cubic root of 9490457304 is about 2117.2024110992.

The spelling of 9490457304 in words is "nine billion, four hundred ninety million, four hundred fifty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 487 558 744 974 1116 1461 1948 2232 2922 3896 4383 5844 8731 8766 11688 15097 17462 17532 26193 30194 34924 35064 45291 52386 60388 69848 78579 90582 104772 120776 135873 157158 181164 209544 270661 271746 314316 362328 541322 543492 628632 811983 1082644 1086984 1623966 2165288 2435949 3247932 4251997 4871898 6495864 8503994 9743796 12755991 17007988 19487592 25511982 34015976 38267973 51023964 76535946 102047928 131811907 153071892 263623814 306143784 395435721 527247628 790871442 1054495256 1186307163 1581742884 2372614326 3163485768 4745228652 9490457304