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536293240 = 235721914401
BaseRepresentation
bin11111111101110…
…010111101111000
31101101010112000121
4133331302331320
52044242340430
6125114343024
716201263100
oct3775627570
91341115017
10536293240
112557a605a
1212b72aa74
13871516a2
1451322200
1532136a7a
hex1ff72f78

536293240 has 96 divisors (see below), whose sum is σ = 1477645200. Its totient is φ = 174182400.

The previous prime is 536293229. The next prime is 536293249. The reversal of 536293240 is 42392635.

It is a super-2 number, since 2×5362932402 = 575220878539395200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 536293196 and 536293205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536293249) 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, 30040 + ... + 44440.

Almost surely, 2536293240 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 536293240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738822600).

536293240 is an abundant number, since it is smaller than the sum of its proper divisors (941351960).

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

536293240 is a wasteful number, since it uses less digits than its factorization.

536293240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14445 (or 14434 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 536293240 is about 23158.0059590631. The cubic root of 536293240 is about 812.4577284517.

The spelling of 536293240 in words is "five hundred thirty-six million, two hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 380 392 490 532 665 760 931 980 1064 1330 1862 1960 2660 3724 4655 5320 7448 9310 14401 18620 28802 37240 57604 72005 100807 115208 144010 201614 273619 288020 403228 504035 547238 576040 705649 806456 1008070 1094476 1368095 1411298 1915333 2016140 2188952 2736190 2822596 3528245 3830666 4032280 5472380 5645192 7056490 7661332 9576665 10944760 13407331 14112980 15322664 19153330 26814662 28225960 38306660 53629324 67036655 76613320 107258648 134073310 268146620 536293240