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30042656 = 257711889
BaseRepresentation
bin111001010011…
…0101000100000
32002112022202222
41302212220200
530142331111
62551530212
7513233630
oct162465040
962468688
1030042656
1115a5a546
12a089968
1362bb527
143dc06c0
1529867db
hex1ca6a20

30042656 has 48 divisors (see below), whose sum is σ = 68584320. Its totient is φ = 12687360.

The previous prime is 30042643. The next prime is 30042671. The reversal of 30042656 is 65624003.

It is a super-2 number, since 2×300426562 = 1805122359068672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14960 + ... + 16848.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 230042656 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 30042656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292160).

30042656 is an abundant number, since it is smaller than the sum of its proper divisors (38541664).

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

30042656 is a wasteful number, since it uses less digits than its factorization.

30042656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 30042656 is about 5481.1181341037. The cubic root of 30042656 is about 310.8704498624.

Adding to 30042656 its reverse (65624003), we get a palindrome (95666659).

The spelling of 30042656 in words is "thirty million, forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 994 1136 1889 1988 2272 3778 3976 7556 7952 13223 15112 15904 26446 30224 52892 60448 105784 134119 211568 268238 423136 536476 938833 1072952 1877666 2145904 3755332 4291808 7510664 15021328 30042656