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990724448 = 257192329349
BaseRepresentation
bin111011000011010…
…100000101100000
32120001020000110002
4323003110011200
54012111140243
6242150355132
733360006320
oct7303240540
92501200402
10990724448
11469268a3a
1223795baa8
1312a3402ac
1495815280
155be9ceb8
hex3b0d4160

990724448 has 192 divisors, whose sum is σ = 2540160000. Its totient is φ = 370427904.

The previous prime is 990724447. The next prime is 990724459. The reversal of 990724448 is 844427099.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990724447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2838578 + ... + 2838926.

It is an arithmetic number, because the mean of its divisors is an integer number (13230000).

Almost surely, 2990724448 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 990724448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080000).

990724448 is an abundant number, since it is smaller than the sum of its proper divisors (1549435552).

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

990724448 is a wasteful number, since it uses less digits than its factorization.

With its successor (990724449) it forms an eRAP, since the sums of their prime factors are consecutive (437 and 438).

990724448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 990724448 is about 31475.7755742412. The cubic root of 990724448 is about 996.8985402250.

The spelling of 990724448 in words is "nine hundred ninety million, seven hundred twenty-four thousand, four hundred forty-eight".