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921130488 = 233319211813
BaseRepresentation
bin110110111001110…
…101010111111000
32101012021021111000
4312321311113320
53341302133423
6231223005000
731553323425
oct6671652770
92335237430
10921130488
11432a54a73
12218599760
13118ab4535
148a49ad4c
1555d02843
hex36e755f8

921130488 has 96 divisors (see below), whose sum is σ = 2700680400. Its totient is φ = 290858688.

The previous prime is 921130481. The next prime is 921130523. The reversal of 921130488 is 884031129.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (921130481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72070 + ... + 83882.

Almost surely, 2921130488 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 921130488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350340200).

921130488 is an abundant number, since it is smaller than the sum of its proper divisors (1779549912).

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

921130488 is a wasteful number, since it uses less digits than its factorization.

921130488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11866 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 921130488 is about 30350.1315977378. The cubic root of 921130488 is about 972.9870327233.

The spelling of 921130488 in words is "nine hundred twenty-one million, one hundred thirty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 361 456 513 684 722 1026 1083 1368 1444 2052 2166 2888 3249 4104 4332 6498 8664 9747 11813 12996 19494 23626 25992 35439 38988 47252 70878 77976 94504 106317 141756 212634 224447 283512 318951 425268 448894 637902 673341 850536 897788 1275804 1346682 1795576 2020023 2551608 2693364 4040046 4264493 5386728 6060069 8080092 8528986 12120138 12793479 16160184 17057972 24240276 25586958 34115944 38380437 48480552 51173916 76760874 102347832 115141311 153521748 230282622 307043496 460565244 921130488