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996087456 = 253471341103
BaseRepresentation
bin111011010111110…
…001011010100000
32120102022111010000
4323113301122200
54014444244311
6242501340000
733453414030
oct7327613240
92512274100
10996087456
114712a1281
12239707600
1312b49a380
149640d8c0
155c6ac056
hex3b5f16a0

996087456 has 480 divisors, whose sum is σ = 3729293568. Its totient is φ = 253808640.

The previous prime is 996087439. The next prime is 996087467. The reversal of 996087456 is 654780699.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9670701 + ... + 9670803.

Almost surely, 2996087456 is an apocalyptic number.

996087456 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 996087456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864646784).

996087456 is an abundant number, since it is smaller than the sum of its proper divisors (2733206112).

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

996087456 is a wasteful number, since it uses less digits than its factorization.

996087456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 996087456 is about 31560.8532204058. The cubic root of 996087456 is about 998.6941140709.

The spelling of 996087456 in words is "nine hundred ninety-six million, eighty-seven thousand, four hundred fifty-six".