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5077831248 = 243373154167
BaseRepresentation
bin1001011101010100…
…11000111001010000
3111002212211112222000
410232222120321100
540344411044443
62155511314000
7236555565510
oct45652307120
914085745860
105077831248
112176337856
12b9867b900
1362c00ca99
14362561840
151eabcc8d3
hex12ea98e50

5077831248 has 160 divisors (see below), whose sum is σ = 17195089920. Its totient is φ = 1403982720.

The previous prime is 5077831247. The next prime is 5077831259. The reversal of 5077831248 is 8421387705.

5077831248 is a `hidden beast` number, since 507 + 78 + 31 + 2 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077831243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66661 + ... + 120827.

It is an arithmetic number, because the mean of its divisors is an integer number (107469312).

Almost surely, 25077831248 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 5077831248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8597544960).

5077831248 is an abundant number, since it is smaller than the sum of its proper divisors (12117258672).

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

5077831248 is a wasteful number, since it uses less digits than its factorization.

5077831248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54222 (or 54210 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 5077831248 is about 71258.9029385101. The cubic root of 5077831248 is about 1718.8029402924.

The spelling of 5077831248 in words is "five billion, seventy-seven million, eight hundred thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1302 1488 1512 1674 1736 1953 2232 2604 3024 3348 3472 3906 4464 5208 5859 6696 7812 10416 11718 13392 15624 23436 31248 46872 54167 93744 108334 162501 216668 325002 379169 433336 487503 650004 758338 866672 975006 1137507 1300008 1462509 1516676 1679177 1950012 2275014 2600016 2925018 3033352 3358354 3412521 3900024 4550028 5037531 5850036 6066704 6716708 6825042 7800048 9100056 10075062 10237563 11700072 11754239 13433416 13650084 15112593 18200112 20150124 20475126 23400144 23508478 26866832 27300168 30225186 35262717 40300248 40950252 45337779 47016956 54600336 60450372 70525434 80600496 81900504 90675558 94033912 105788151 120900744 141050868 163801008 181351116 188067824 211576302 241801488 282101736 317364453 362702232 423152604 564203472 634728906 725404464 846305208 1269457812 1692610416 2538915624 5077831248