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5475456 = 27327297
BaseRepresentation
bin10100111000110010000000
3101022011220200
4110320302000
52400203311
6313205200
764353300
oct24706200
911264820
105475456
1130aa878
121a00800
13119931c
14a27600
15732556
hex538c80

5475456 has 144 divisors (see below), whose sum is σ = 18517590. Its totient is φ = 1548288.

The previous prime is 5475443. The next prime is 5475473. The reversal of 5475456 is 6545745.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4769856 + 705600 = 2184^2 + 840^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 5475456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56400 + ... + 56496.

Almost surely, 25475456 is an apocalyptic number.

5475456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5475456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9258795).

5475456 is an abundant number, since it is smaller than the sum of its proper divisors (13042134).

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

5475456 is a wasteful number, since it uses less digits than its factorization.

5475456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 109 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 5475456 is about 2339.9692305669. The cubic root of 5475456 is about 176.2544528828.

The spelling of 5475456 in words is "five million, four hundred seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 97 98 112 126 128 144 147 168 192 194 196 224 252 288 291 294 336 384 388 392 441 448 504 576 582 588 672 679 776 784 873 882 896 1008 1152 1164 1176 1344 1358 1552 1568 1746 1764 2016 2037 2328 2352 2688 2716 3104 3136 3492 3528 4032 4074 4656 4704 4753 5432 6111 6208 6272 6984 7056 8064 8148 9312 9408 9506 10864 12222 12416 13968 14112 14259 16296 18624 18816 19012 21728 24444 27936 28224 28518 32592 37248 38024 42777 43456 48888 55872 56448 57036 65184 76048 85554 86912 97776 111744 114072 130368 152096 171108 195552 228144 260736 304192 342216 391104 456288 608384 684432 782208 912576 1368864 1825152 2737728 5475456