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30642976 = 2571317619
BaseRepresentation
bin111010011100…
…1001100100000
32010122211021001
41310321030200
530321033401
63012441344
7521314060
oct164711440
963584231
1030642976
111632a581
12a319254
13646b850
1440d93a0
152a54601
hex1d39320

30642976 has 96 divisors (see below), whose sum is σ = 78744960. Its totient is φ = 11390976.

The previous prime is 30642929. The next prime is 30643021. The reversal of 30642976 is 67924603.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49195 + ... + 49813.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 230642976 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 30642976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

30642976 is an abundant number, since it is smaller than the sum of its proper divisors (48101984).

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

30642976 is a wasteful number, since it uses less digits than its factorization.

30642976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 30642976 is about 5535.6098128391. The cubic root of 30642976 is about 312.9274398247.

The spelling of 30642976 in words is "thirty million, six hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 68 91 104 112 119 136 182 208 221 224 238 272 364 416 442 476 544 619 728 884 952 1238 1456 1547 1768 1904 2476 2912 3094 3536 3808 4333 4952 6188 7072 8047 8666 9904 10523 12376 16094 17332 19808 21046 24752 32188 34664 42092 49504 56329 64376 69328 73661 84184 112658 128752 136799 138656 147322 168368 225316 257504 273598 294644 336736 450632 547196 589288 901264 957593 1094392 1178576 1802528 1915186 2188784 2357152 3830372 4377568 7660744 15321488 30642976