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5701248 = 273272101
BaseRepresentation
bin10101101111111010000000
3101201122122100
4111233322000
52424414443
6322110400
766313500
oct25577200
911648570
105701248
113244483
121aab400
131248027
14a85a00
157793d3
hex56fe80

5701248 has 144 divisors (see below), whose sum is σ = 19273410. Its totient is φ = 1612800.

The previous prime is 5701211. The next prime is 5701249. The reversal of 5701248 is 8421075.

5701248 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3415104 + 2286144 = 1848^2 + 1512^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5701249) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56398 + ... + 56498.

Almost surely, 25701248 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 5701248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9636705).

5701248 is an abundant number, since it is smaller than the sum of its proper divisors (13572162).

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

5701248 is a wasteful number, since it uses less digits than its factorization.

5701248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5701248 is about 2387.7286277967. The cubic root of 5701248 is about 178.6446347923.

The spelling of 5701248 in words is "five million, seven hundred one thousand, two hundred forty-eight".

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 98 101 112 126 128 144 147 168 192 196 202 224 252 288 294 303 336 384 392 404 441 448 504 576 588 606 672 707 784 808 882 896 909 1008 1152 1176 1212 1344 1414 1568 1616 1764 1818 2016 2121 2352 2424 2688 2828 3136 3232 3528 3636 4032 4242 4704 4848 4949 5656 6272 6363 6464 7056 7272 8064 8484 9408 9696 9898 11312 12726 12928 14112 14544 14847 16968 18816 19392 19796 22624 25452 28224 29088 29694 33936 38784 39592 44541 45248 50904 56448 58176 59388 67872 79184 89082 90496 101808 116352 118776 135744 158368 178164 203616 237552 271488 316736 356328 407232 475104 633472 712656 814464 950208 1425312 1900416 2850624 5701248