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325052028 = 22347251571
BaseRepresentation
bin10011010111111…
…110011001111100
3211122122100120000
4103113332121330
51131203131103
652130554300
711024616360
oct2327763174
9748570500
10325052028
11157535444
1290a38990
135245c8a2
14312552a0
151d80baa3
hex135fe67c

325052028 has 120 divisors (see below), whose sum is σ = 976719744. Its totient is φ = 92340000.

The previous prime is 325052027. The next prime is 325052029. The reversal of 325052028 is 820250523.

325052028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (325052027) and next prime (325052029).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 325051992 and 325052010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325052027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 568983 + ... + 569553.

Almost surely, 2325052028 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 325052028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488359872).

325052028 is an abundant number, since it is smaller than the sum of its proper divisors (651667716).

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

325052028 is a wasteful number, since it uses less digits than its factorization.

325052028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 325052028 is about 18029.1993166641. The cubic root of 325052028 is about 687.5711198272.

It can be divided in two parts, 3250 and 52028, that added together give a triangular number (55278 = T332).

The spelling of 325052028 in words is "three hundred twenty-five million, fifty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 251 252 324 378 502 567 571 753 756 1004 1134 1142 1506 1713 1757 2259 2268 2284 3012 3426 3514 3997 4518 5139 5271 6777 6852 7028 7994 9036 10278 10542 11991 13554 15417 15813 15988 20331 20556 21084 23982 27108 30834 31626 35973 40662 46251 47439 47964 61668 63252 71946 81324 92502 94878 107919 142317 143321 143892 185004 189756 215838 284634 286642 323757 429963 431676 569268 573284 647514 859926 1003247 1289889 1295028 1719852 2006494 2579778 3009741 3869667 4012988 5159556 6019482 7739334 9029223 11609001 12038964 15478668 18058446 23218002 27087669 36116892 46436004 54175338 81263007 108350676 162526014 325052028