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536865440 = 25517316367
BaseRepresentation
bin11111111111111…
…110101010100000
31101102012120221012
4133333332222200
52044414143230
6125134520052
716206165236
oct3777765240
91342176835
10536865440
11256056a51
1212b966028
13872c1c77
1451430956
15321eb395
hex1fffeaa0

536865440 has 96 divisors (see below), whose sum is σ = 1386491904. Its totient is φ = 195563520.

The previous prime is 536865437. The next prime is 536865451. The reversal of 536865440 is 44568635.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81137 + ... + 87503.

It is an arithmetic number, because the mean of its divisors is an integer number (14442624).

Almost surely, 2536865440 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 536865440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693245952).

536865440 is an abundant number, since it is smaller than the sum of its proper divisors (849626464).

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

536865440 is a wasteful number, since it uses less digits than its factorization.

536865440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430 (or 6422 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The square root of 536865440 is about 23170.3569243117. The cubic root of 536865440 is about 812.7465773111.

The spelling of 536865440 in words is "five hundred thirty-six million, eight hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 68 80 85 124 136 155 160 170 248 272 310 340 496 527 544 620 680 992 1054 1240 1360 2108 2480 2635 2720 4216 4960 5270 6367 8432 10540 12734 16864 21080 25468 31835 42160 50936 63670 84320 101872 108239 127340 197377 203744 216478 254680 394754 432956 509360 541195 789508 865912 986885 1018720 1082390 1579016 1731824 1973770 2164780 3158032 3355409 3463648 3947540 4329560 6316064 6710818 7895080 8659120 13421636 15790160 16777045 17318240 26843272 31580320 33554090 53686544 67108180 107373088 134216360 268432720 536865440