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921331968 = 2833732423
BaseRepresentation
bin110110111010100…
…110100100000000
32101012122111212020
4312322212210000
53341330110333
6231231201440
731555123014
oct6672464400
92335574766
10921331968
11433082387
12218676280
13118b5515b
148a510544
1555d423b3
hex36ea6900

921331968 has 72 divisors (see below), whose sum is σ = 2518436928. Its totient is φ = 298801152.

The previous prime is 921331963. The next prime is 921331969. The reversal of 921331968 is 869133129.

It is not an unprimeable number, because it can be changed into a prime (921331963) 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 7 ways as a sum of consecutive naturals, for example, 12205 + ... + 44627.

Almost surely, 2921331968 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 921331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259218464).

921331968 is an abundant number, since it is smaller than the sum of its proper divisors (1597104960).

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

921331968 is a wasteful number, since it uses less digits than its factorization.

921331968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32479 (or 32465 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 921331968 is about 30353.4506769823. The cubic root of 921331968 is about 973.0579684334.

The spelling of 921331968 in words is "nine hundred twenty-one million, three hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 3552 4736 7104 9472 14208 28416 32423 64846 97269 129692 194538 259384 389076 518768 778152 1037536 1199651 1556304 2075072 2399302 3112608 3598953 4150144 4798604 6225216 7197906 8300288 9597208 12450432 14395812 19194416 24900864 28791624 38388832 57583248 76777664 115166496 153555328 230332992 307110656 460665984 921331968