Search a number
-
+
30552 = 2331967
BaseRepresentation
bin111011101011000
31112220120
413131120
51434202
6353240
7155034
oct73530
945816
1030552
1120a55
1215820
1310ba2
14b1c4
1590bc
hex7758

30552 has 32 divisors (see below), whose sum is σ = 81600. Its totient is φ = 9504.

The previous prime is 30539. The next prime is 30553. The reversal of 30552 is 25503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30553) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (2550).

230552 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 30552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40800).

30552 is an abundant number, since it is smaller than the sum of its proper divisors (51048).

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

30552 is a wasteful number, since it uses less digits than its factorization.

30552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 30552 is about 174.7913041315. The cubic root of 30552 is about 31.2617449186.

The spelling of 30552 in words is "thirty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 67 76 114 134 152 201 228 268 402 456 536 804 1273 1608 2546 3819 5092 7638 10184 15276 30552