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537897864 = 233731179577
BaseRepresentation
bin100000000011111…
…010101110001000
31101111011001011010
4200003322232020
52100200212424
6125213003520
716221025230
oct4003725610
91344131133
10537897864
112566a1699
121301835a0
1387593b7a
145161ccc0
1532352229
hex200fab88

537897864 has 128 divisors (see below), whose sum is σ = 1598054400. Its totient is φ = 147640320.

The previous prime is 537897863. The next prime is 537897907. The reversal of 537897864 is 468798735.

It is a super-2 number, since 2×5378978642 = 578668224191524992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (537897863) 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, 931944 + ... + 932520.

It is an arithmetic number, because the mean of its divisors is an integer number (12484800).

Almost surely, 2537897864 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 537897864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799027200).

537897864 is an abundant number, since it is smaller than the sum of its proper divisors (1060156536).

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

537897864 is a wasteful number, since it uses less digits than its factorization.

537897864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 799 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The square root of 537897864 is about 23192.6252071645. The cubic root of 537897864 is about 813.2672302871.

The spelling of 537897864 in words is "five hundred thirty-seven million, eight hundred ninety-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 179 186 217 248 358 372 434 537 577 651 716 744 868 1074 1154 1253 1302 1432 1731 1736 2148 2308 2506 2604 3462 3759 4039 4296 4616 5012 5208 5549 6924 7518 8078 10024 11098 12117 13848 15036 16156 16647 17887 22196 24234 30072 32312 33294 35774 38843 44392 48468 53661 66588 71548 77686 96936 103283 107322 116529 125209 133176 143096 155372 206566 214644 233058 250418 309849 310744 375627 413132 429288 466116 500836 619698 722981 751254 826264 932232 1001672 1239396 1445962 1502508 2168943 2478792 2891924 3005016 3201773 4337886 5783848 6403546 8675772 9605319 12807092 17351544 19210638 22412411 25614184 38421276 44824822 67237233 76842552 89649644 134474466 179299288 268948932 537897864