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30244752 = 24362593
BaseRepresentation
bin111001101011…
…1111110010000
32002220121000000
41303113332100
530220313002
63000130000
7515035056
oct163277620
962817000
1030244752
111608836a
12a166900
13635c505
1440341d6
1529c661c
hex1cd7f90

30244752 has 70 divisors (see below), whose sum is σ = 87892502. Its totient is φ = 10077696.

The previous prime is 30244741. The next prime is 30244759. The reversal of 30244752 is 25744203.

It can be written as a sum of positive squares in only one way, i.e., 26873856 + 3370896 = 5184^2 + 1836^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

30244752 is a modest number, since divided by 4752 gives 3024 as remainder.

It is not an unprimeable number, because it can be changed into a prime (30244759) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 10368 + ... + 12960.

Almost surely, 230244752 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 30244752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43946251).

30244752 is an abundant number, since it is smaller than the sum of its proper divisors (57647750).

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

30244752 is an equidigital number, since it uses as much as digits as its factorization.

30244752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 30244752 is about 5499.5228883968. The cubic root of 30244752 is about 311.5659645235.

Adding to 30244752 its reverse (25744203), we get a palindrome (55988955).

It can be divided in two parts, 3024 and 4752, that added together give a 5-th power (7776 = 65).

The spelling of 30244752 in words is "thirty million, two hundred forty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2593 2916 3888 5186 5832 7779 10372 11664 15558 20744 23337 31116 41488 46674 62232 70011 93348 124464 140022 186696 210033 280044 373392 420066 560088 630099 840132 1120176 1260198 1680264 1890297 2520396 3360528 3780594 5040792 7561188 10081584 15122376 30244752