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3835056246 = 23733535279
BaseRepresentation
bin1110010010010110…
…0101000001110110
3100220021100001011020
43210211211001312
530323233244441
61432314322010
7164015304000
oct34445450166
910807301136
103835056246
11169887557a
128b0429306
134916bc968
14285499370
15176a42e66
hexe4965076

3835056246 has 64 divisors (see below), whose sum is σ = 8971776000. Its totient is φ = 1092419328.

The previous prime is 3835056217. The next prime is 3835056257. The reversal of 3835056246 is 6426505383.

It is a super-2 number, since 2×38350562462 = 29415312819967225032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3835056198 and 3835056207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723835 + ... + 729113.

It is an arithmetic number, because the mean of its divisors is an integer number (140184000).

Almost surely, 23835056246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3835056246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485888000).

3835056246 is an abundant number, since it is smaller than the sum of its proper divisors (5136719754).

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

3835056246 is a wasteful number, since it uses less digits than its factorization.

3835056246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 3835056246 is about 61927.8309486131. The cubic root of 3835056246 is about 1565.2747490285.

The spelling of 3835056246 in words is "three billion, eight hundred thirty-five million, fifty-six thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 353 686 706 1029 1059 2058 2118 2471 4942 5279 7413 10558 14826 15837 17297 31674 34594 36953 51891 73906 103782 110859 121079 221718 242158 258671 363237 517342 726474 776013 1552026 1810697 1863487 3621394 3726974 5432091 5590461 10864182 11180922 13044409 26088818 39133227 78266454 91310863 182621726 273932589 547865178 639176041 1278352082 1917528123 3835056246