Search a number
-
+
30287296 = 261359617
BaseRepresentation
bin111001110001…
…0010111000000
32002222202100201
41303202113000
530223143141
63001054544
7515303104
oct163422700
962882321
1030287296
1116107326
12a187454
1363759a0
144045904
1529d4031
hex1ce25c0

30287296 has 56 divisors (see below), whose sum is σ = 65928240. Its totient is φ = 13719552.

The previous prime is 30287291. The next prime is 30287303. The reversal of 30287296 is 69278203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30287291) 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 7 ways as a sum of consecutive naturals, for example, 48780 + ... + 49396.

It is an arithmetic number, because the mean of its divisors is an integer number (1177290).

Almost surely, 230287296 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 30287296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32964120).

30287296 is an abundant number, since it is smaller than the sum of its proper divisors (35640944).

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

30287296 is a wasteful number, since it uses less digits than its factorization.

30287296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 30287296 is about 5503.3895010257. The cubic root of 30287296 is about 311.7119849201.

The spelling of 30287296 in words is "thirty million, two hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 208 236 416 472 617 767 832 944 1234 1534 1888 2468 3068 3776 4936 6136 8021 9872 12272 16042 19744 24544 32084 36403 39488 49088 64168 72806 128336 145612 256672 291224 473239 513344 582448 946478 1164896 1892956 2329792 3785912 7571824 15143648 30287296