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30418752 = 2637131741
BaseRepresentation
bin111010000001…
…0011101000000
32010020102200110
41310002131000
530241400002
63003551320
7516361260
oct164023500
963212613
1030418752
1116197071
12a22b540
1363c0780
14407b7a0
152a0ce6c
hex1d02740

30418752 has 112 divisors (see below), whose sum is σ = 99112832. Its totient is φ = 8017920.

The previous prime is 30418747. The next prime is 30418769. The reversal of 30418752 is 25781403.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16602 + ... + 18342.

It is an arithmetic number, because the mean of its divisors is an integer number (884936).

Almost surely, 230418752 is an apocalyptic number.

30418752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30418752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49556416).

30418752 is an abundant number, since it is smaller than the sum of its proper divisors (68694080).

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

30418752 is a wasteful number, since it uses less digits than its factorization.

30418752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 30418752 is about 5515.3197550097. The cubic root of 30418752 is about 312.1623087115.

The spelling of 30418752 in words is "thirty million, four hundred eighteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 1741 2184 2496 2912 3482 4368 5223 5824 6964 8736 10446 12187 13928 17472 20892 22633 24374 27856 36561 41784 45266 48748 55712 67899 73122 83568 90532 97496 111424 135798 146244 158431 167136 181064 194992 271596 292488 316862 334272 362128 389984 475293 543192 584976 633724 724256 779968 950586 1086384 1169952 1267448 1448512 1901172 2172768 2339904 2534896 3802344 4345536 5069792 7604688 10139584 15209376 30418752