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797561016 = 2337291271289
BaseRepresentation
bin101111100010011…
…101000010111000
32001120202022000220
4233202131002320
53113133423031
6211050300040
725523104530
oct5742350270
92046668026
10797561016
1137a22543a
121a3127620
13c930a9c5
1477cd24c0
154a044596
hex2f89d0b8

797561016 has 128 divisors (see below), whose sum is σ = 2377728000. Its totient is φ = 218115072.

The previous prime is 797561003. The next prime is 797561021. The reversal of 797561016 is 610165797.

797561016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7975610162 = 1272207148485904512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618100 + ... + 619388.

It is an arithmetic number, because the mean of its divisors is an integer number (18576000).

Almost surely, 2797561016 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 797561016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188864000).

797561016 is an abundant number, since it is smaller than the sum of its proper divisors (1580166984).

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

797561016 is a wasteful number, since it uses less digits than its factorization.

797561016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 797561016 is about 28241.1227822125. The cubic root of 797561016 is about 927.3734096331.

The spelling of 797561016 in words is "seven hundred ninety-seven million, five hundred sixty-one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 127 168 174 203 232 254 348 381 406 508 609 696 762 812 889 1016 1218 1289 1524 1624 1778 2436 2578 2667 3048 3556 3683 3867 4872 5156 5334 7112 7366 7734 9023 10312 10668 11049 14732 15468 18046 21336 22098 25781 27069 29464 30936 36092 37381 44196 51562 54138 72184 74762 77343 88392 103124 108276 112143 149524 154686 163703 206248 216552 224286 261667 299048 309372 327406 448572 491109 523334 618744 654812 785001 897144 982218 1046668 1145921 1309624 1570002 1964436 2093336 2291842 3140004 3437763 3928872 4583684 4747387 6280008 6875526 9167368 9494774 13751052 14242161 18989548 27502104 28484322 33231709 37979096 56968644 66463418 99695127 113937288 132926836 199390254 265853672 398780508 797561016