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532448028 = 223277129759
BaseRepresentation
bin11111101111001…
…000001100011100
31101002220011101100
4133233020030130
52042301314103
6124500113100
716123506420
oct3757101434
91332804340
10532448028
1125360a0a2
1212a395790
1386406408
1450a00b80
1531b275a3
hex1fbc831c

532448028 has 72 divisors (see below), whose sum is σ = 1559900160. Its totient is φ = 149980320.

The previous prime is 532447991. The next prime is 532448047. The reversal of 532448028 is 820844235.

532448028 is a `hidden beast` number, since 532 + 44 + 80 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 532447983 and 532448001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3013 + ... + 32771.

It is an arithmetic number, because the mean of its divisors is an integer number (21665280).

Almost surely, 2532448028 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 532448028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779950080).

532448028 is an abundant number, since it is smaller than the sum of its proper divisors (1027452132).

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

532448028 is a wasteful number, since it uses less digits than its factorization.

532448028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29847 (or 29842 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 532448028 is about 23074.8353840282. The cubic root of 532448028 is about 810.5113004095.

The spelling of 532448028 in words is "five hundred thirty-two million, four hundred forty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2556 2982 4473 5964 8946 17892 29759 59518 89277 119036 178554 208313 267831 357108 416626 535662 624939 833252 1071324 1249878 1874817 2112889 2499756 3749634 4225778 6338667 7499268 8451556 12677334 14790223 19016001 25354668 29580446 38032002 44370669 59160892 76064004 88741338 133112007 177482676 266224014 532448028