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5707296 = 2532719149
BaseRepresentation
bin10101110001011000100000
3101201221221100
4111301120200
52430113141
6322154400
766340230
oct25613040
911657840
105707296
113248a81
121ab2a00
13124a9ca
14a87cc0
1577b0b6
hex571620

5707296 has 144 divisors (see below), whose sum is σ = 19656000. Its totient is φ = 1534464.

The previous prime is 5707279. The next prime is 5707301. The reversal of 5707296 is 6927075.

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

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

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 5707296.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38230 + ... + 38378.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

Almost surely, 25707296 is an apocalyptic number.

5707296 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 5707296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828000).

5707296 is an abundant number, since it is smaller than the sum of its proper divisors (13948704).

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

5707296 is a wasteful number, since it uses less digits than its factorization.

5707296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5707296 is about 2388.9947676795. The cubic root of 5707296 is about 178.7077824238.

The spelling of 5707296 in words is "five million, seven hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 149 152 168 171 224 228 252 266 288 298 304 336 342 399 447 456 504 532 596 608 672 684 798 894 912 1008 1043 1064 1192 1197 1341 1368 1596 1788 1824 2016 2086 2128 2384 2394 2682 2736 2831 3129 3192 3576 4172 4256 4768 4788 5364 5472 5662 6258 6384 7152 8344 8493 9387 9576 10728 11324 12516 12768 14304 16688 16986 18774 19152 19817 21456 22648 25032 25479 33376 33972 37548 38304 39634 42912 45296 50064 50958 59451 67944 75096 79268 90592 100128 101916 118902 135888 150192 158536 178353 203832 237804 271776 300384 317072 356706 407664 475608 634144 713412 815328 951216 1426824 1902432 2853648 5707296