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30475728 = 2432316827
BaseRepresentation
bin111010001000…
…0010111010000
32010100022211200
41310100113100
530300210403
63005111200
7520016343
oct164202720
963308750
1030475728
1116225958
12a258500
13641069a
14409445a
152a1eca3
hex1d105d0

30475728 has 60 divisors (see below), whose sum is σ = 88053888. Its totient is φ = 9829440.

The previous prime is 30475721. The next prime is 30475763. The reversal of 30475728 is 82757403.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30475692 and 30475701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30475721) 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, 1051 + ... + 7877.

Almost surely, 230475728 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 30475728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44026944).

30475728 is an abundant number, since it is smaller than the sum of its proper divisors (57578160).

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

30475728 is a wasteful number, since it uses less digits than its factorization.

30475728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6863 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 30475728 is about 5520.4825876005. The cubic root of 30475728 is about 312.3570862254.

The spelling of 30475728 in words is "thirty million, four hundred seventy-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 6827 13654 20481 27308 40962 54616 61443 81924 109232 122886 163848 211637 245772 327696 423274 491544 634911 846548 983088 1269822 1693096 1904733 2539644 3386192 3809466 5079288 7618932 10158576 15237864 30475728