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1040155648 = 2107312151
BaseRepresentation
bin111101111111111…
…000010000000000
32200111020101022021
4331333320100000
54112234440043
6251114051224
734530114520
oct7577702000
92614211267
101040155648
11494160374
12250419b14
1313765981c
149c201680
15614b43ed
hex3dff8400

1040155648 has 132 divisors (see below), whose sum is σ = 2471727936. Its totient is φ = 428544000.

The previous prime is 1040155643. The next prime is 1040155709. The reversal of 1040155648 is 8465510401.

1040155648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040155643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6888373 + ... + 6888523.

Almost surely, 21040155648 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 1040155648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235863968).

1040155648 is an abundant number, since it is smaller than the sum of its proper divisors (1431572288).

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

1040155648 is an equidigital number, since it uses as much as digits as its factorization.

1040155648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 1040155648 is about 32251.4441227056. Note that the first 3 decimals coincide. The cubic root of 1040155648 is about 1013.2099449639.

It can be divided in two parts, 10401 and 55648, that added together give a square (66049 = 2572).

The spelling of 1040155648 in words is "one billion, forty million, one hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 151 217 224 248 256 302 434 448 496 512 604 868 896 961 992 1024 1057 1208 1736 1792 1922 1984 2114 2416 3472 3584 3844 3968 4228 4681 4832 6727 6944 7168 7688 7936 8456 9362 9664 13454 13888 15376 15872 16912 18724 19328 26908 27776 30752 31744 32767 33824 37448 38656 53816 55552 61504 65534 67648 74896 77312 107632 111104 123008 131068 135296 145111 149792 154624 215264 222208 246016 262136 270592 290222 299584 430528 492032 524272 541184 580444 599168 861056 984064 1015777 1048544 1082368 1160888 1198336 1722112 2031554 2097088 2321776 2396672 3444224 4063108 4194176 4643552 4793344 6888448 8126216 8388352 9287104 16252432 16776704 18574208 32504864 33553408 37148416 65009728 74296832 130019456 148593664 260038912 520077824 1040155648