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996798400 = 265213172819
BaseRepresentation
bin111011011010011…
…110111111000000
32120110122121100021
4323122132333000
54020140022100
6242524503224
733462434533
oct7332367700
92513577307
10996798400
11471737434
122399aab14
1312b688b50
1496556a1a
155c79ca1a
hex3b69efc0

996798400 has 168 divisors, whose sum is σ = 2797789680. Its totient is φ = 346275840.

The previous prime is 996798373. The next prime is 996798427. The reversal of 996798400 is 4897699.

It is an interprime number because it is at equal distance from previous prime (996798373) and next prime (996798427).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352191 + ... + 355009.

It is an arithmetic number, because the mean of its divisors is an integer number (16653510).

Almost surely, 2996798400 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 996798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398894840).

996798400 is an abundant number, since it is smaller than the sum of its proper divisors (1800991280).

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

996798400 is a wasteful number, since it uses less digits than its factorization.

996798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The square root of 996798400 is about 31572.1142782678. The cubic root of 996798400 is about 998.9316590541.

The spelling of 996798400 in words is "nine hundred ninety-six million, seven hundred ninety-eight thousand, four hundred".