Search a number
-
+
30742528 = 21117883
BaseRepresentation
bin111010101000…
…1100000000000
32010211212211011
41311101200000
530332230103
63014530304
7522210235
oct165214000
963755734
1030742528
1116398353
12a366994
1364a4c5b
14412378c
152a73d6d
hex1d51800

30742528 has 48 divisors (see below), whose sum is σ = 65159640. Its totient is φ = 14450688.

The previous prime is 30742519. The next prime is 30742531. The reversal of 30742528 is 82524703.

It is a self number, because there is not a number n which added to its sum of digits gives 30742528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34375 + ... + 35257.

Almost surely, 230742528 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 30742528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32579820).

30742528 is an abundant number, since it is smaller than the sum of its proper divisors (34417112).

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

30742528 is an equidigital number, since it uses as much as digits as its factorization.

30742528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 30742528 is about 5544.5944847211. The cubic root of 30742528 is about 313.2659499987.

The spelling of 30742528 in words is "thirty million, seven hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 883 1024 1088 1766 2048 2176 3532 4352 7064 8704 14128 15011 17408 28256 30022 34816 56512 60044 113024 120088 226048 240176 452096 480352 904192 960704 1808384 1921408 3842816 7685632 15371264 30742528