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2047487440 = 24555745949
BaseRepresentation
bin111101000001010…
…0010110111010000
312021200201010202011
41322002202313100
513143124044230
6535100432304
7101511233065
oct17202426720
95250633664
102047487440
11960831689
12491848694
13268262c3b
14155cdac6c
15beb42e2a
hex7a0a2dd0

2047487440 has 40 divisors (see below), whose sum is σ = 4769058600. Its totient is φ = 817506816.

The previous prime is 2047487437. The next prime is 2047487459. The reversal of 2047487440 is 447847402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 145829776 + 1901657664 = 12076^2 + 43608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2047487393 and 2047487402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21586 + ... + 67534.

It is an arithmetic number, because the mean of its divisors is an integer number (119226465).

Almost surely, 22047487440 is an apocalyptic number.

2047487440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2047487440 is an abundant number, since it is smaller than the sum of its proper divisors (2721571160).

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

2047487440 is a wasteful number, since it uses less digits than its factorization.

2047487440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46519 (or 46513 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 40.

The square root of 2047487440 is about 45249.1706001337. The cubic root of 2047487440 is about 1269.8148902503.

The spelling of 2047487440 in words is "two billion, forty-seven million, four hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 557 1114 2228 2785 4456 5570 8912 11140 22280 44560 45949 91898 183796 229745 367592 459490 735184 918980 1837960 3675920 25593593 51187186 102374372 127967965 204748744 255935930 409497488 511871860 1023743720 2047487440