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1245242944 = 261124012
BaseRepresentation
bin100101000111000…
…1110011001000000
310012210010220012001
41022032032121000
510022240233234
6323321513344
742600250621
oct11216163100
93183126161
101245242944
115899a8500
122a9042854
1316aca555a
14bb549a48
15744c5d14
hex4a38e640

1245242944 has 63 divisors (see below), whose sum is σ = 2722879873. Its totient is φ = 564608000.

The previous prime is 1245242909. The next prime is 1245242953. The reversal of 1245242944 is 4492425421.

The square root of 1245242944 is 35288.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1232852544 + 12390400 = 35112^2 + 3520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3105144 + ... + 3105544.

Almost surely, 21245242944 is an apocalyptic number.

1245242944 is the 35288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1245242944

1245242944 is an abundant number, since it is smaller than the sum of its proper divisors (1477636929).

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

1245242944 is an frugal number, since it uses more digits than its factorization.

1245242944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 414 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The cubic root of 1245242944 is about 1075.8491056718.

The spelling of 1245242944 in words is "one billion, two hundred forty-five million, two hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 401 484 704 802 968 1604 1936 3208 3872 4411 6416 7744 8822 12832 17644 25664 35288 48521 70576 97042 141152 160801 194084 282304 321602 388168 643204 776336 1286408 1552672 1768811 2572816 3105344 3537622 5145632 7075244 10291264 14150488 19456921 28300976 38913842 56601952 77827684 113203904 155655368 311310736 622621472 1245242944