Search a number
-
+
30505888 = 257178011
BaseRepresentation
bin111010001011…
…1101110100000
32010101212012201
41310113232200
530302142023
63005502544
7520203310
oct164275640
963355181
1030505888
1116246586
12a271a54
13642132a
1440a1440
152a28bad
hex1d17ba0

30505888 has 48 divisors (see below), whose sum is σ = 72684864. Its totient is φ = 12303360.

The previous prime is 30505879. The next prime is 30505901. The reversal of 30505888 is 88850503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198 + ... + 7813.

It is an arithmetic number, because the mean of its divisors is an integer number (1514268).

Almost surely, 230505888 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 30505888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36342432).

30505888 is an abundant number, since it is smaller than the sum of its proper divisors (42178976).

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

30505888 is a wasteful number, since it uses less digits than its factorization.

30505888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8045 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 30505888 is about 5523.2135573414. The cubic root of 30505888 is about 312.4600926106.

The spelling of 30505888 in words is "thirty million, five hundred five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 8011 16022 32044 56077 64088 112154 128176 136187 224308 256352 272374 448616 544748 897232 953309 1089496 1794464 1906618 2178992 3813236 4357984 7626472 15252944 30505888