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5794272 = 2532113159
BaseRepresentation
bin10110000110100111100000
3101220101020200
4112012213200
52440404042
6324105200
7100151631
oct26064740
911811220
105794272
1132a8360
121b35200
13127b483
14aab888
15796c4c
hex5869e0

5794272 has 144 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 1670400.

The previous prime is 5794267. The next prime is 5794273. The reversal of 5794272 is 2724975.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 52 + 74 + 94 + 4 + 212 + 78 + 214 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5794273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98179 + ... + 98237.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 25794272 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 5794272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

5794272 is an abundant number, since it is smaller than the sum of its proper divisors (13075488).

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

5794272 is a wasteful number, since it uses less digits than its factorization.

5794272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 106 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 5794272 is about 2407.1294107297. The cubic root of 5794272 is about 179.6110118363.

It can be divided in two parts, 579 and 4272, that added together give a triangular number (4851 = T98).

The spelling of 5794272 in words is "five million, seven hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 59 62 66 72 88 93 96 99 118 124 132 144 176 177 186 198 236 248 264 279 288 341 352 354 372 396 472 496 528 531 558 649 682 708 744 792 944 992 1023 1056 1062 1116 1298 1364 1416 1488 1584 1829 1888 1947 2046 2124 2232 2596 2728 2832 2976 3069 3168 3658 3894 4092 4248 4464 5192 5456 5487 5664 5841 6138 7316 7788 8184 8496 8928 10384 10912 10974 11682 12276 14632 15576 16368 16461 16992 20119 20768 21948 23364 24552 29264 31152 32736 32922 40238 43896 46728 49104 58528 60357 62304 65844 80476 87792 93456 98208 120714 131688 160952 175584 181071 186912 241428 263376 321904 362142 482856 526752 643808 724284 965712 1448568 1931424 2897136 5794272