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4274564 = 2272113193
BaseRepresentation
bin10000010011100110000100
322001011121012
4100103212010
52043241224
6231341352
751222200
oct20234604
98034535
104274564
11245a5a8
121521858
13b68838
147d3b00
1559680e
hex413984

4274564 has 36 divisors (see below), whose sum is σ = 8824284. Its totient is φ = 1806336.

The previous prime is 4274551. The next prime is 4274579. The reversal of 4274564 is 4654724.

4274564 = T245 + T246 + ... + T342.

4274564 = 422 + 432 + ... + 2342.

It can be written as a sum of positive squares in 2 ways, for example, as 432964 + 3841600 = 658^2 + 1960^2 .

It is a d-powerful number, because it can be written as 43 + 29 + 7 + 44 + 57 + 64 + 411 .

It is a self number, because there is not a number n which added to its sum of digits gives 4274564.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22052 + ... + 22244.

It is an arithmetic number, because the mean of its divisors is an integer number (245119).

Almost surely, 24274564 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 4274564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412142).

4274564 is an abundant number, since it is smaller than the sum of its proper divisors (4549720).

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

4274564 is a wasteful number, since it uses less digits than its factorization.

4274564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its digits is 26880, while the sum is 32.

The square root of 4274564 is about 2067.5018742434. The cubic root of 4274564 is about 162.2920606560.

The spelling of 4274564 in words is "four million, two hundred seventy-four thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 113 193 196 226 386 452 772 791 1351 1582 2702 3164 5404 5537 9457 11074 18914 21809 22148 37828 43618 87236 152663 305326 610652 1068641 2137282 4274564