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8228292048 = 2432179319223
BaseRepresentation
bin1111010100111000…
…11100010111010000
3210020102222112201100
413222130130113100
5113322420321143
63440252504400
7410622220434
oct75234342720
923212875640
108228292048
113542724669
12171777b100
13a11924b82
14580b329c4
153325926d3
hex1ea71c5d0

8228292048 has 60 divisors (see below), whose sum is σ = 23156508960. Its totient is φ = 2727432768.

The previous prime is 8228291987. The next prime is 8228292073. The reversal of 8228292048 is 8402928228.

It is a junction number, because it is equal to n+sod(n) for n = 8228291994 and 8228292012.

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 11 ways as a sum of consecutive naturals, for example, 133836 + ... + 185387.

It is an arithmetic number, because the mean of its divisors is an integer number (385941816).

Almost surely, 28228292048 is an apocalyptic number.

It is an amenable number.

8228292048 is an abundant number, since it is smaller than the sum of its proper divisors (14928216912).

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

8228292048 is a wasteful number, since it uses less digits than its factorization.

8228292048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319416 (or 319407 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8228292048 is about 90709.9335684907. The cubic root of 8228292048 is about 2018.8461900790.

The spelling of 8228292048 in words is "eight billion, two hundred twenty-eight million, two hundred ninety-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 358 537 716 1074 1432 1611 2148 2864 3222 4296 6444 8592 12888 25776 319223 638446 957669 1276892 1915338 2553784 2873007 3830676 5107568 5746014 7661352 11492028 15322704 22984056 45968112 57140917 114281834 171422751 228563668 342845502 457127336 514268253 685691004 914254672 1028536506 1371382008 2057073012 2742764016 4114146024 8228292048