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532353042 = 2321321391259
BaseRepresentation
bin11111101110110…
…001000000010010
31101002201100002100
4133232301000102
52042240244132
6124454101230
716122632454
oct3756610022
91332640070
10532353042
112535547a1
1212a34a816
13863a2100
14509b82d4
1531b0937c
hex1fbb1012

532353042 has 72 divisors (see below), whose sum is σ = 1258966800. Its totient is φ = 162493344.

The previous prime is 532353013. The next prime is 532353053. The reversal of 532353042 is 240353235.

It is a super-2 number, since 2×5323530422 = 566799522653307528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 532352997 and 532353015.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 422209 + ... + 423467.

It is an arithmetic number, because the mean of its divisors is an integer number (17485650).

Almost surely, 2532353042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532353042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629483400).

532353042 is an abundant number, since it is smaller than the sum of its proper divisors (726613758).

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

532353042 is a wasteful number, since it uses less digits than its factorization.

532353042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 532353042 is about 23072.7770760262. Note that the first 3 decimals coincide. The cubic root of 532353042 is about 810.4631005222.

The spelling of 532353042 in words is "five hundred thirty-two million, three hundred fifty-three thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 139 169 234 278 338 417 507 834 1014 1251 1259 1521 1807 2502 2518 3042 3614 3777 5421 7554 10842 11331 16263 16367 22662 23491 32526 32734 46982 49101 70473 98202 140946 147303 175001 211419 212771 294606 350002 422838 425542 525003 638313 1050006 1276626 1575009 1914939 2275013 3150018 3829878 4550026 6825039 13650078 20475117 29575169 40950234 59150338 88725507 177451014 266176521 532353042