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35428668 = 22311972767
BaseRepresentation
bin1000011100100…
…1100100111100
32110122221222220
42013021210330
533032204133
63303205340
7610065402
oct207114474
973587886
1035428668
1118aa90a0
12ba46850
137455c12
1449c3472
15319c5b3
hex21c993c

35428668 has 48 divisors (see below), whose sum is σ = 91144704. Its totient is φ = 10621440.

The previous prime is 35428661. The next prime is 35428669. The reversal of 35428668 is 86682453.

Its product of digits (276480) is a multiple of the sum of its prime divisors (2880).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35428661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11421 + ... + 14187.

It is an arithmetic number, because the mean of its divisors is an integer number (1898848).

Almost surely, 235428668 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 35428668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45572352).

35428668 is an abundant number, since it is smaller than the sum of its proper divisors (55716036).

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

35428668 is a wasteful number, since it uses less digits than its factorization.

35428668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2880 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 35428668 is about 5952.1985853968. The cubic root of 35428668 is about 328.4366458077.

The spelling of 35428668 in words is "thirty-five million, four hundred twenty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 2767 3201 4268 5534 6402 8301 11068 12804 16602 30437 33204 60874 91311 121748 182622 268399 365244 536798 805197 1073596 1610394 2952389 3220788 5904778 8857167 11809556 17714334 35428668