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2938624248 = 233761286751
BaseRepresentation
bin1010111100100111…
…1101100011111000
321120210112120122010
42233021331203320
522004241433443
61203332525520
7132551615430
oct25711754370
97523476563
102938624248
11127885a98a
126a01808a0
1337aa75321
141dc3cb2c0
15122ebd733
hexaf27d8f8

2938624248 has 64 divisors (see below), whose sum is σ = 8533739520. Its totient is φ = 825840000.

The previous prime is 2938624231. The next prime is 2938624253. The reversal of 2938624248 is 8424268392.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2938624197 and 2938624206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133128 + ... + 153623.

It is an arithmetic number, because the mean of its divisors is an integer number (133339680).

Almost surely, 22938624248 is an apocalyptic number.

2938624248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2938624248 is an abundant number, since it is smaller than the sum of its proper divisors (5595115272).

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

2938624248 is a wasteful number, since it uses less digits than its factorization.

2938624248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286828 (or 286824 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 2938624248 is about 54209.0790181866. The cubic root of 2938624248 is about 1432.3462628736.

The spelling of 2938624248 in words is "two billion, nine hundred thirty-eight million, six hundred twenty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 10248 286751 573502 860253 1147004 1720506 2007257 2294008 3441012 4014514 6021771 6882024 8029028 12043542 16058056 17491811 24087084 34983622 48174168 52475433 69967244 104950866 122442677 139934488 209901732 244885354 367328031 419803464 489770708 734656062 979541416 1469312124 2938624248