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30852432 = 24321316481
BaseRepresentation
bin111010110110…
…0010101010000
32011001110120200
41311230111100
530344234212
63021135200
7523145532
oct165542520
964043520
1030852432
1116462986
12a3ba500
136512ca0
144151852
152a966dc
hex1d6c550

30852432 has 60 divisors (see below), whose sum is σ = 92991444. Its totient is φ = 9492480.

The previous prime is 30852431. The next prime is 30852439. The reversal of 30852432 is 23425803.

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 22695696 = 2856^2 + 4764^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30852396 and 30852405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30852431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6369 + ... + 10112.

Almost surely, 230852432 is an apocalyptic number.

It is an amenable number.

30852432 is an abundant number, since it is smaller than the sum of its proper divisors (62139012).

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

30852432 is a wasteful number, since it uses less digits than its factorization.

30852432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16508 (or 16499 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 30852432 is about 5554.4965568447. The cubic root of 30852432 is about 313.6388127895.

The spelling of 30852432 in words is "thirty million, eight hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 16481 32962 49443 65924 98886 131848 148329 197772 214253 263696 296658 395544 428506 593316 642759 791088 857012 1186632 1285518 1714024 1928277 2373264 2571036 3428048 3856554 5142072 7713108 10284144 15426216 30852432