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996721152 = 29372171941
BaseRepresentation
bin111011011010001…
…100001000000000
32120110111200101020
4323122030020000
54020130034102
6242523105440
733461663400
oct7332141000
92513450336
10996721152
11471694399
12239972280
1312b65c93b
1496536800
155c784bbc
hex3b68c200

996721152 has 480 divisors, whose sum is σ = 3526649280. Its totient is φ = 247726080.

The previous prime is 996721147. The next prime is 996721153. The reversal of 996721152 is 251127699.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (996721153) 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 47 ways as a sum of consecutive naturals, for example, 24310252 + ... + 24310292.

It is an arithmetic number, because the mean of its divisors is an integer number (7347186).

Almost surely, 2996721152 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 996721152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763324640).

996721152 is an abundant number, since it is smaller than the sum of its proper divisors (2529928128).

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

996721152 is a wasteful number, since it uses less digits than its factorization.

996721152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its digits is 68040, while the sum is 42.

The square root of 996721152 is about 31570.8908965205. The cubic root of 996721152 is about 998.9058539477.

The spelling of 996721152 in words is "nine hundred ninety-six million, seven hundred twenty-one thousand, one hundred fifty-two".