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96482720 = 2551973061
BaseRepresentation
bin1011100000000…
…11010110100000
320201112211102002
411300003112200
5144144421340
613323543132
72251042505
oct560032640
9221484362
1096482720
114a509994
122838aaa8
1316cb1889
14cb574ac
15870c715
hex5c035a0

96482720 has 48 divisors (see below), whose sum is σ = 229172328. Its totient is φ = 38384640.

The previous prime is 96482671. The next prime is 96482731. The reversal of 96482720 is 2728469.

It can be written as a sum of positive squares in 4 ways, for example, as 94556176 + 1926544 = 9724^2 + 1388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29990 + ... + 33050.

Almost surely, 296482720 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 96482720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114586164).

96482720 is an abundant number, since it is smaller than the sum of its proper divisors (132689608).

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

96482720 is a wasteful number, since it uses less digits than its factorization.

96482720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 96482720 is about 9822.5617839747. The cubic root of 96482720 is about 458.6518815467.

The spelling of 96482720 in words is "ninety-six million, four hundred eighty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 197 394 788 985 1576 1970 3061 3152 3940 6122 6304 7880 12244 15305 15760 24488 30610 31520 48976 61220 97952 122440 244880 489760 603017 1206034 2412068 3015085 4824136 6030170 9648272 12060340 19296544 24120680 48241360 96482720