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35420826 = 23721719373
BaseRepresentation
bin1000011100011…
…1101010011010
32110122120020110
42013013222122
533031431301
63303105150
7610033500
oct207075232
973576213
1035420826
1118aa3211
12ba421b6
13745248c
1449c0670
15319a0d6
hex21c7a9a

35420826 has 96 divisors (see below), whose sum is σ = 92093760. Its totient is φ = 8999424.

The previous prime is 35420771. The next prime is 35420839. The reversal of 35420826 is 62802453.

35420826 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×354208263 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35420793 and 35420802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94776 + ... + 95148.

It is an arithmetic number, because the mean of its divisors is an integer number (959310).

Almost surely, 235420826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35420826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46046880).

35420826 is an abundant number, since it is smaller than the sum of its proper divisors (56672934).

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

35420826 is a wasteful number, since it uses less digits than its factorization.

35420826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 35420826 is about 5951.5398007574. The cubic root of 35420826 is about 328.4124112883.

The spelling of 35420826 in words is "thirty-five million, four hundred twenty thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 49 51 57 98 102 114 119 133 147 238 266 294 323 357 373 399 646 714 746 798 833 931 969 1119 1666 1862 1938 2238 2261 2499 2611 2793 4522 4998 5222 5586 6341 6783 7087 7833 12682 13566 14174 15666 15827 18277 19023 21261 31654 36554 38046 42522 44387 47481 49609 54831 88774 94962 99218 109662 120479 133161 148827 240958 266322 297654 310709 347263 361437 621418 694526 722874 843353 932127 1041789 1686706 1864254 2083578 2530059 5060118 5903471 11806942 17710413 35420826