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99693312 = 283271479
BaseRepresentation
bin1011111000100…
…11001100000000
320221120221111220
411330103030000
5201010141222
613520435040
72320244025
oct574231400
9227527456
1099693312
1151302074
1229478a80
1317867034
14d35154c
158b43b5c
hex5f13300

99693312 has 72 divisors (see below), whose sum is σ = 266864640. Its totient is φ = 33039360.

The previous prime is 99693289. The next prime is 99693313. The reversal of 99693312 is 21339699.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (99693313) 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 7 ways as a sum of consecutive naturals, for example, 207889 + ... + 208367.

Almost surely, 299693312 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 99693312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133432320).

99693312 is an abundant number, since it is smaller than the sum of its proper divisors (167171328).

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

99693312 is a wasteful number, since it uses less digits than its factorization.

99693312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 755 counting only the distinct ones).

The product of its digits is 78732, while the sum is 42.

The square root of 99693312 is about 9984.6538247453. The cubic root of 99693312 is about 463.6838909162.

The spelling of 99693312 in words is "ninety-nine million, six hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 271 384 479 542 768 813 958 1084 1437 1626 1916 2168 2874 3252 3832 4336 5748 6504 7664 8672 11496 13008 15328 17344 22992 26016 30656 34688 45984 52032 61312 69376 91968 104064 122624 129809 183936 208128 259618 367872 389427 519236 778854 1038472 1557708 2076944 3115416 4153888 6230832 8307776 12461664 16615552 24923328 33231104 49846656 99693312