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30628962 = 23371323271
BaseRepresentation
bin111010011010…
…1110001100010
32010122010001000
41310311301202
530320111322
63012252430
7521225160
oct164656142
963563030
1030628962
111631aaa1
12a311116
136465360
1440d4230
152a503ac
hex1d35c62

30628962 has 128 divisors (see below), whose sum is σ = 87736320. Its totient is φ = 7698240.

The previous prime is 30628937. The next prime is 30628963. The reversal of 30628962 is 26982603.

It is not an unprimeable number, because it can be changed into a prime (30628963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112887 + ... + 113157.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 230628962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30628962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43868160).

30628962 is an abundant number, since it is smaller than the sum of its proper divisors (57107358).

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

30628962 is a wasteful number, since it uses less digits than its factorization.

30628962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 30628962 is about 5534.3438635488. The cubic root of 30628962 is about 312.8797286860.

The spelling of 30628962 in words is "thirty million, six hundred twenty-eight thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 27 39 42 46 54 63 69 78 91 117 126 138 161 182 189 207 234 271 273 299 322 351 378 414 483 542 546 598 621 702 813 819 897 966 1242 1449 1626 1638 1794 1897 2093 2439 2457 2691 2898 3523 3794 4186 4347 4878 4914 5382 5691 6233 6279 7046 7317 8073 8694 10569 11382 12466 12558 14634 16146 17073 18699 18837 21138 24661 31707 34146 37398 37674 43631 49322 51219 56097 56511 63414 73983 81029 87262 95121 102438 112194 113022 130893 147966 162058 168291 190242 221949 243087 261786 336582 392679 443898 486174 567203 665847 729261 785358 1134406 1178037 1331694 1458522 1701609 2187783 2356074 3403218 4375566 5104827 10209654 15314481 30628962