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1082749824 = 273213197367
BaseRepresentation
bin100000010001001…
…0111001110000000
32210110101101112100
41000202113032000
54204140443244
6255235030400
735555136012
oct10042271600
92713341470
101082749824
11506202a72
1226273b400
13143421090
14a3b2c1b2
15650c9b69
hex40897380

1082749824 has 192 divisors, whose sum is σ = 3381618240. Its totient is φ = 330559488.

The previous prime is 1082749819. The next prime is 1082749849. The reversal of 1082749824 is 4289472801.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 1082749824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2950089 + ... + 2950455.

It is an arithmetic number, because the mean of its divisors is an integer number (17612595).

Almost surely, 21082749824 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 1082749824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690809120).

1082749824 is an abundant number, since it is smaller than the sum of its proper divisors (2298868416).

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

1082749824 is a wasteful number, since it uses less digits than its factorization.

1082749824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1082749824 is about 32905.1640931936. The cubic root of 1082749824 is about 1026.8555953728.

The spelling of 1082749824 in words is "one billion, eighty-two million, seven hundred forty-nine thousand, eight hundred twenty-four".