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30982952 = 23711135373
BaseRepresentation
bin111011000110…
…0001100101000
32011022002121202
41312030030220
530412423302
63024023332
7524231210
oct166141450
964262552
1030982952
1116541a50
12a461b48
13655a510
144187240
152ac0202
hex1d8c328

30982952 has 128 divisors (see below), whose sum is σ = 80559360. Its totient is φ = 10782720.

The previous prime is 30982943. The next prime is 30982957. The reversal of 30982952 is 25928903.

It is not an unprimeable number, because it can be changed into a prime (30982957) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 424388 + ... + 424460.

It is an arithmetic number, because the mean of its divisors is an integer number (629370).

Almost surely, 230982952 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 30982952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40279680).

30982952 is an abundant number, since it is smaller than the sum of its proper divisors (49576408).

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

30982952 is a wasteful number, since it uses less digits than its factorization.

30982952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 30982952 is about 5566.2331966959. The cubic root of 30982952 is about 314.0804694569.

The spelling of 30982952 in words is "thirty million, nine hundred eighty-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 53 56 73 77 88 91 104 106 143 146 154 182 212 286 292 308 364 371 424 511 572 583 584 616 689 728 742 803 949 1001 1022 1144 1166 1378 1484 1606 1898 2002 2044 2332 2756 2968 3212 3796 3869 4004 4081 4088 4664 4823 5512 5621 6424 6643 7579 7592 7738 8008 8162 9646 10439 11242 13286 15158 15476 16324 19292 20878 22484 26572 27083 30316 30952 32648 38584 41756 42559 44968 50297 53053 53144 54166 60632 73073 83512 85118 100594 106106 108332 146146 170236 201188 212212 216664 292292 297913 340472 352079 402376 424424 553267 584584 595826 704158 1106534 1191652 1408316 2213068 2383304 2816632 3872869 4426136 7745738 15491476 30982952