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649093248 = 2732563449
BaseRepresentation
bin100110101100000…
…110000010000000
31200020101100112200
4212230012002000
52312131440443
6144224153200
722041126066
oct4654060200
91606340480
10649093248
1130343a401
12161468800
13a462735b
14622c6036
153beb8dd3
hex26b06080

649093248 has 48 divisors (see below), whose sum is σ = 1867836750. Its totient is φ = 216364032.

The previous prime is 649093243. The next prime is 649093261. The reversal of 649093248 is 842390946.

It can be written as a sum of positive squares in only one way, i.e., 619412544 + 29680704 = 24888^2 + 5448^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (649093243) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 280573 + ... + 282876.

Almost surely, 2649093248 is an apocalyptic number.

It is an amenable number.

649093248 is an abundant number, since it is smaller than the sum of its proper divisors (1218743502).

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

649093248 is a wasteful number, since it uses less digits than its factorization.

649093248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563469 (or 563454 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 649093248 is about 25477.3084920680. The cubic root of 649093248 is about 865.8361158198.

The spelling of 649093248 in words is "six hundred forty-nine million, ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 563449 1126898 1690347 2253796 3380694 4507592 5071041 6761388 9015184 10142082 13522776 18030368 20284164 27045552 36060736 40568328 54091104 72121472 81136656 108182208 162273312 216364416 324546624 649093248