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5284356 = 22372111943
BaseRepresentation
bin10100001010001000000100
3100221110202220
4110022020010
52323044411
6305132340
762626200
oct24121004
910843686
105284356
112a8a240
12192a0b0
13113034c
149b7b00
156e5b06
hex50a204

5284356 has 144 divisors (see below), whose sum is σ = 16853760. Its totient is φ = 1270080.

The previous prime is 5284339. The next prime is 5284373. The reversal of 5284356 is 6534825.

It is an interprime number because it is at equal distance from previous prime (5284339) and next prime (5284373).

It is a Harshad number since it is a multiple of its sum of digits (33).

5284356 is a modest number, since divided by 4356 gives 528 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122871 + ... + 122913.

It is an arithmetic number, because the mean of its divisors is an integer number (117040).

Almost surely, 25284356 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 5284356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426880).

5284356 is an abundant number, since it is smaller than the sum of its proper divisors (11569404).

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

5284356 is a wasteful number, since it uses less digits than its factorization.

5284356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 5284356 is about 2298.7727160378. The cubic root of 5284356 is about 174.1796268931.

It can be divided in two parts, 528 and 4356, that multiplied together give a cube (2299968 = 1323).

The spelling of 5284356 in words is "five million, two hundred eighty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 43 44 49 57 66 76 77 84 86 98 114 129 132 133 147 154 172 196 209 228 231 258 266 294 301 308 399 418 462 473 516 532 539 588 602 627 798 817 836 903 924 931 946 1078 1204 1254 1419 1463 1596 1617 1634 1806 1862 1892 2107 2156 2451 2508 2793 2838 2926 3234 3268 3311 3612 3724 4214 4389 4902 5586 5676 5719 5852 6321 6468 6622 8428 8778 8987 9804 9933 10241 11172 11438 12642 13244 17157 17556 17974 19866 20482 22876 23177 25284 26961 30723 34314 35948 39732 40033 40964 46354 53922 61446 62909 68628 69531 80066 92708 107844 120099 122892 125818 139062 160132 188727 240198 251636 278124 377454 440363 480396 754908 880726 1321089 1761452 2642178 5284356