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35086428 = 22321327379
BaseRepresentation
bin1000010111011…
…0000001011100
32110000120112100
42011312001130
532440231203
63252005100
7604141536
oct205660134
973016470
1035086428
1118894a53
12b900790
137366200
144934856
153130ea3
hex217605c

35086428 has 108 divisors (see below), whose sum is σ = 98585760. Its totient is φ = 10513152.

The previous prime is 35086427. The next prime is 35086439. The reversal of 35086428 is 82468053.

35086428 is a `hidden beast` number, since 3 + 5 + 0 + 8 + 642 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 35086392 and 35086401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35086427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 444093 + ... + 444171.

Almost surely, 235086428 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 35086428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49292880).

35086428 is an abundant number, since it is smaller than the sum of its proper divisors (63499332).

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

35086428 is a wasteful number, since it uses less digits than its factorization.

35086428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 35086428 is about 5923.3797784711. The cubic root of 35086428 is about 327.3756589532.

The spelling of 35086428 in words is "thirty-five million, eighty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 73 78 79 117 146 156 158 169 219 234 237 292 316 338 438 468 474 507 657 676 711 876 948 949 1014 1027 1314 1422 1521 1898 2028 2054 2628 2844 2847 3042 3081 3796 4108 5694 5767 6084 6162 8541 9243 11388 11534 12324 12337 13351 17082 17301 18486 23068 24674 26702 34164 34602 36972 37011 40053 49348 51903 53404 69204 74022 74971 80106 103806 111033 120159 148044 149942 160212 207612 222066 224913 240318 299884 444132 449826 480636 674739 899652 974623 1349478 1949246 2698956 2923869 3898492 5847738 8771607 11695476 17543214 35086428