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30527532 = 22327232229
BaseRepresentation
bin111010001110…
…1000000101100
32010102221220100
41310131000230
530303340112
63010151100
7520323360
oct164350054
963387810
1030527532
1116260872
12a282490
13642b139
1440a92a0
152a302dc
hex1d1d02c

30527532 has 108 divisors (see below), whose sum is σ = 92594320. Its totient is φ = 8306496.

The previous prime is 30527527. The next prime is 30527533. The reversal of 30527532 is 23572503.

It is a super-2 number, since 2×305275322 = 1863860420022048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30527496 and 30527505.

It is not an unprimeable number, because it can be changed into a prime (30527533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133194 + ... + 133422.

Almost surely, 230527532 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 30527532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46297160).

30527532 is an abundant number, since it is smaller than the sum of its proper divisors (62066788).

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

30527532 is a wasteful number, since it uses less digits than its factorization.

30527532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 30527532 is about 5525.1725764903. The cubic root of 30527532 is about 312.5339722000.

The spelling of 30527532 in words is "thirty million, five hundred twenty-seven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 229 252 276 322 414 458 483 529 644 687 828 916 966 1058 1374 1449 1587 1603 1932 2061 2116 2748 2898 3174 3206 3703 4122 4761 4809 5267 5796 6348 6412 7406 8244 9522 9618 10534 11109 14427 14812 15801 19044 19236 21068 22218 28854 31602 33327 36869 44436 47403 57708 63204 66654 73738 94806 110607 121141 133308 147476 189612 221214 242282 331821 363423 442428 484564 663642 726846 847987 1090269 1327284 1453692 1695974 2180538 2543961 3391948 4361076 5087922 7631883 10175844 15263766 30527532