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532290080 = 2557661719
BaseRepresentation
bin11111101110100…
…001101000100000
31101002121010201102
4133232201220200
52042231240310
6124452453532
716122251060
oct3756415040
91332533642
10532290080
11253511463
1212a31a2a8
138637c55a
145099d3a0
1531ae58a5
hex1fba1a20

532290080 has 96 divisors (see below), whose sum is σ = 1441359360. Its totient is φ = 181969920.

The previous prime is 532290079. The next prime is 532290089. The reversal of 532290080 is 80092235.

It is not an unprimeable number, because it can be changed into a prime (532290089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739961 + ... + 740679.

It is an arithmetic number, because the mean of its divisors is an integer number (15014160).

Almost surely, 2532290080 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 532290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720679680).

532290080 is an abundant number, since it is smaller than the sum of its proper divisors (909069280).

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

532290080 is a wasteful number, since it uses less digits than its factorization.

532290080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 532290080 is about 23071.4126138821. The cubic root of 532290080 is about 810.4311477981.

The spelling of 532290080 in words is "five hundred thirty-two million, two hundred ninety thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 661 719 1120 1322 1438 2644 2876 3305 3595 4627 5033 5288 5752 6610 7190 9254 10066 10576 11504 13220 14380 18508 20132 21152 23008 23135 25165 26440 28760 37016 40264 46270 50330 52880 57520 74032 80528 92540 100660 105760 115040 148064 161056 185080 201320 370160 402640 475259 740320 805280 950518 1901036 2376295 3326813 3802072 4752590 6653626 7604144 9505180 13307252 15208288 16634065 19010360 26614504 33268130 38020720 53229008 66536260 76041440 106458016 133072520 266145040 532290080