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30426048 = 2632101523
BaseRepresentation
bin111010000010…
…0001111000000
32010020210200200
41310010033000
530242113143
63004045200
7516421452
oct164041700
963223620
1030426048
11161a15a4
12a233800
1363c3ba3
1440802d2
152a101d3
hex1d043c0

30426048 has 84 divisors (see below), whose sum is σ = 88242648. Its totient is φ = 10022400.

The previous prime is 30426043. The next prime is 30426083. The reversal of 30426048 is 84062403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30426043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57915 + ... + 58437.

Almost surely, 230426048 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 30426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44121324).

30426048 is an abundant number, since it is smaller than the sum of its proper divisors (57816600).

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

30426048 is a wasteful number, since it uses less digits than its factorization.

30426048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 30426048 is about 5515.9811457256. The cubic root of 30426048 is about 312.1872643062.

The spelling of 30426048 in words is "thirty million, four hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 144 192 202 288 303 404 523 576 606 808 909 1046 1212 1569 1616 1818 2092 2424 3138 3232 3636 4184 4707 4848 6276 6464 7272 8368 9414 9696 12552 14544 16736 18828 19392 25104 29088 33472 37656 50208 52823 58176 75312 100416 105646 150624 158469 211292 301248 316938 422584 475407 633876 845168 950814 1267752 1690336 1901628 2535504 3380672 3803256 5071008 7606512 10142016 15213024 30426048