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35426664 = 23327135407
BaseRepresentation
bin1000011100100…
…1000101101000
32110122212020200
42013021011220
533032123124
63303152200
7610056510
oct207110550
973585220
1035426664
1118aa7639
12ba45660
137455030
1449c2840
15319bbc9
hex21c9168

35426664 has 96 divisors (see below), whose sum is σ = 118110720. Its totient is φ = 9341568.

The previous prime is 35426663. The next prime is 35426701. The reversal of 35426664 is 46662453.

It is a super-3 number, since 3×354266643 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (35426663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3849 + ... + 9255.

It is an arithmetic number, because the mean of its divisors is an integer number (1230320).

Almost surely, 235426664 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 35426664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59055360).

35426664 is an abundant number, since it is smaller than the sum of its proper divisors (82684056).

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

35426664 is a wasteful number, since it uses less digits than its factorization.

35426664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5439 (or 5432 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 35426664 is about 5952.0302418587. The cubic root of 35426664 is about 328.4304530879.

The spelling of 35426664 in words is "thirty-five million, four hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 5407 6552 10814 16221 21628 32442 37849 43256 48663 64884 70291 75698 97326 113547 129768 140582 151396 194652 210873 227094 281164 302792 340641 389304 421746 454188 492037 562328 632619 681282 843492 908376 984074 1265238 1362564 1476111 1686984 1968148 2530476 2725128 2952222 3936296 4428333 5060952 5904444 8856666 11808888 17713332 35426664