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996927456 = 253723531217
BaseRepresentation
bin111011011010111…
…110011111100000
32120110220011101010
4323122332133200
54020203134311
6242531340520
733463513020
oct7332763740
92513804333
10996927456
11471815398
12239a51740
1312b702805
149658ba80
155c7c5da6
hex3b6be7e0

996927456 has 192 divisors, whose sum is σ = 3182312448. Its totient is φ = 267091968.

The previous prime is 996927443. The next prime is 996927467. The reversal of 996927456 is 654729699.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 996927396 and 996927405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 818560 + ... + 819776.

It is an arithmetic number, because the mean of its divisors is an integer number (16574544).

Almost surely, 2996927456 is an apocalyptic number.

996927456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996927456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591156224).

996927456 is an abundant number, since it is smaller than the sum of its proper divisors (2185384992).

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

996927456 is a wasteful number, since it uses less digits than its factorization.

996927456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1305 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 57.

The square root of 996927456 is about 31574.1580410310. The cubic root of 996927456 is about 998.9747679251.

The spelling of 996927456 in words is "nine hundred ninety-six million, nine hundred twenty-seven thousand, four hundred fifty-six".