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30402528 = 25313171433
BaseRepresentation
bin111001111111…
…0011111100000
32010012121102120
41303332133200
530240340103
63003344240
7516263052
oct163763740
963177376
1030402528
1116185962
12a222080
1363b6280
1440758d2
152a08253
hex1cfe7e0

30402528 has 96 divisors (see below), whose sum is σ = 91064736. Its totient is φ = 8798208.

The previous prime is 30402521. The next prime is 30402551. The reversal of 30402528 is 82520403.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 30402498 and 30402507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30402521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20500 + ... + 21932.

It is an arithmetic number, because the mean of its divisors is an integer number (948591).

Almost surely, 230402528 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 30402528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45532368).

30402528 is an abundant number, since it is smaller than the sum of its proper divisors (60662208).

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

30402528 is a wasteful number, since it uses less digits than its factorization.

30402528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 30402528 is about 5513.8487465653. The cubic root of 30402528 is about 312.1068010435.

The spelling of 30402528 in words is "thirty million, four hundred two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1433 1632 1768 2652 2866 3536 4299 5304 5732 7072 8598 10608 11464 17196 18629 21216 22928 24361 34392 37258 45856 48722 55887 68784 73083 74516 97444 111774 137568 146166 149032 194888 223548 292332 298064 316693 389776 447096 584664 596128 633386 779552 894192 950079 1169328 1266772 1788384 1900158 2338656 2533544 3800316 5067088 7600632 10134176 15201264 30402528