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35090064 = 2433431889
BaseRepresentation
bin1000010111011…
…0111010010000
32110000202112000
42011312322100
532440340224
63252034000
7604155252
oct205667220
973022460
1035090064
1118897759
12b902900
137367a69
144935cd2
1531320c9
hex2176e90

35090064 has 80 divisors (see below), whose sum is σ = 103118400. Its totient is φ = 11418624.

The previous prime is 35090039. The next prime is 35090071. The reversal of 35090064 is 46009053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17632 + ... + 19520.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 235090064 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 35090064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51559200).

35090064 is an abundant number, since it is smaller than the sum of its proper divisors (68028336).

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

35090064 is a wasteful number, since it uses less digits than its factorization.

35090064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 35090064 is about 5923.6866898917. The cubic root of 35090064 is about 327.3869671887.

The spelling of 35090064 in words is "thirty-five million, ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 1889 2064 2322 3096 3778 4644 5667 6192 7556 9288 11334 15112 17001 18576 22668 30224 34002 45336 51003 68004 81227 90672 102006 136008 162454 204012 243681 272016 324908 408024 487362 649816 731043 816048 974724 1299632 1462086 1949448 2193129 2924172 3898896 4386258 5848344 8772516 11696688 17545032 35090064