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1037742368 = 251315715889
BaseRepresentation
bin111101110110101…
…011000100100000
32200022200202220112
4331312223010200
54111130223433
6250550230452
734500443645
oct7566530440
92608622815
101037742368
11492862223
1224b655428
13136cc3250
149bb73dcc
1561189348
hex3ddab120

1037742368 has 48 divisors (see below), whose sum is σ = 2214366840. Its totient is φ = 475877376.

The previous prime is 1037742331. The next prime is 1037742371. The reversal of 1037742368 is 8632477301.

1037742368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 458473744 + 579268624 = 21412^2 + 24068^2 .

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, 57368 + ... + 73256.

Almost surely, 21037742368 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 1037742368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107183420).

1037742368 is an abundant number, since it is smaller than the sum of its proper divisors (1176624472).

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

1037742368 is a wasteful number, since it uses less digits than its factorization.

1037742368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16069 (or 16061 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 1037742368 is about 32214.0088781263. The cubic root of 1037742368 is about 1012.4257505477.

The spelling of 1037742368 in words is "one billion, thirty-seven million, seven hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 157 208 314 416 628 1256 2041 2512 4082 5024 8164 15889 16328 31778 32656 63556 65312 127112 206557 254224 413114 508448 826228 1652456 2494573 3304912 4989146 6609824 9978292 19956584 32429449 39913168 64858898 79826336 129717796 259435592 518871184 1037742368