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532020192 = 25311521967
BaseRepresentation
bin11111101101011…
…111101111100000
31101002002102111120
4133231133233200
52042144121232
6124443012240
716120045164
oct3755375740
91332072446
10532020192
11253347710
1212a20a080
13862b6762
145092cca4
1531a9092c
hex1fb5fbe0

532020192 has 96 divisors (see below), whose sum is σ = 1528015104. Its totient is φ = 160742400.

The previous prime is 532020187. The next prime is 532020211. The reversal of 532020192 is 291020235.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 549693 + ... + 550659.

It is an arithmetic number, because the mean of its divisors is an integer number (15916824).

Almost surely, 2532020192 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 532020192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764007552).

532020192 is an abundant number, since it is smaller than the sum of its proper divisors (995994912).

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

532020192 is a wasteful number, since it uses less digits than its factorization.

532020192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 532020192 is about 23065.5629023009. The cubic root of 532020192 is about 810.2941531861.

The spelling of 532020192 in words is "five hundred thirty-two million, twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 521 528 967 1042 1056 1563 1934 2084 2901 3126 3868 4168 5731 5802 6252 7736 8336 10637 11462 11604 12504 15472 16672 17193 21274 22924 23208 25008 30944 31911 34386 42548 45848 46416 50016 63822 68772 85096 91696 92832 127644 137544 170192 183392 255288 275088 340384 503807 510576 550176 1007614 1021152 1511421 2015228 3022842 4030456 5541877 6045684 8060912 11083754 12091368 16121824 16625631 22167508 24182736 33251262 44335016 48365472 66502524 88670032 133005048 177340064 266010096 532020192