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5208226048 = 28435379113
BaseRepresentation
bin1001101100110111…
…10011100100000000
3111102222012022000001
410312123303210000
541131301213143
62220450205344
7243031122334
oct46633634400
914388168001
105208226048
1122329a9353
121014283854
1365003617c
143759c57c4
1520738814d
hex1366f3900

5208226048 has 144 divisors (see below), whose sum is σ = 11072920320. Its totient is φ = 2442166272.

The previous prime is 5208226043. The next prime is 5208226061. The reversal of 5208226048 is 8406228025.

It is a junction number, because it is equal to n+sod(n) for n = 5208225998 and 5208226016.

It is not an unprimeable number, because it can be changed into a prime (5208226043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46090440 + ... + 46090552.

It is an arithmetic number, because the mean of its divisors is an integer number (76895280).

Almost surely, 25208226048 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 5208226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536460160).

5208226048 is an abundant number, since it is smaller than the sum of its proper divisors (5864694272).

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

5208226048 is a wasteful number, since it uses less digits than its factorization.

5208226048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 5208226048 is about 72168.0403502825. The cubic root of 5208226048 is about 1733.3912837956.

The spelling of 5208226048 in words is "five billion, two hundred eight million, two hundred twenty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 43 53 64 79 86 106 113 128 158 172 212 226 256 316 344 424 452 632 688 848 904 1264 1376 1696 1808 2279 2528 2752 3392 3397 3616 4187 4558 4859 5056 5504 5989 6784 6794 7232 8374 8927 9116 9718 10112 11008 11978 13568 13588 14464 16748 17854 18232 19436 20224 23956 27176 28928 33496 35708 36464 38872 47912 54352 66992 71416 72928 77744 95824 108704 133984 142832 145856 155488 180041 191648 217408 257527 267968 285664 291712 310976 360082 383296 383861 434816 473131 515054 535936 571328 583424 621952 720164 766592 767722 869632 946262 1030108 1071872 1142656 1243904 1440328 1533184 1535444 1892524 2060216 2285312 2880656 3070888 3785048 4120432 5761312 6141776 7570096 8240864 11522624 12283552 15140192 16481728 20344633 23045248 24567104 30280384 32963456 40689266 46090496 49134208 60560768 65926912 81378532 98268416 121121536 162757064 325514128 651028256 1302056512 2604113024 5208226048