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993777248 = 2531797967
BaseRepresentation
bin111011001110111…
…101011001100000
32120020222010002202
4323032331121200
54013401332443
6242340032332
733424652522
oct7316753140
92506863082
10993777248
1146aa63612
122389926a8
1312ab6b999
1495daba12
155c3a27b8
hex3b3bd660

993777248 has 24 divisors (see below), whose sum is σ = 1962690912. Its totient is φ = 495316096.

The previous prime is 993777247. The next prime is 993777263. The reversal of 993777248 is 842777399.

It is a junction number, because it is equal to n+sod(n) for n = 993777193 and 993777202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993777247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38840 + ... + 59127.

It is an arithmetic number, because the mean of its divisors is an integer number (81778788).

Almost surely, 2993777248 is an apocalyptic number.

It is an amenable number.

993777248 is a deficient number, since it is larger than the sum of its proper divisors (968913664).

993777248 is a wasteful number, since it uses less digits than its factorization.

993777248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98294 (or 98286 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 56.

The square root of 993777248 is about 31524.2327107259. The cubic root of 993777248 is about 997.9214318814.

The spelling of 993777248 in words is "nine hundred ninety-three million, seven hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 317 634 1268 2536 5072 10144 97967 195934 391868 783736 1567472 3134944 31055539 62111078 124222156 248444312 496888624 993777248