Search a number
-
+
1038364026 = 237235032137
BaseRepresentation
bin111101111001000…
…010110101111010
32200100212100122220
4331321002311322
54111310122101
6251011424510
734505643240
oct7571026572
92610770586
101038364026
11493147297
1224b8b5136
131371801ab
149bc96790
156125d636
hex3de42d7a

1038364026 has 64 divisors (see below), whose sum is σ = 2482679808. Its totient is φ = 283079808.

The previous prime is 1038363971. The next prime is 1038364037. The reversal of 1038364026 is 6204638301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484830 + ... + 486966.

It is an arithmetic number, because the mean of its divisors is an integer number (38791872).

Almost surely, 21038364026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038364026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241339904).

1038364026 is an abundant number, since it is smaller than the sum of its proper divisors (1444315782).

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

1038364026 is a wasteful number, since it uses less digits than its factorization.

1038364026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1038364026 is about 32223.6563102327. The cubic root of 1038364026 is about 1012.6278742319.

The spelling of 1038364026 in words is "one billion, thirty-eight million, three hundred sixty-four thousand, twenty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 503 966 1006 1509 2137 3018 3521 4274 6411 7042 10563 11569 12822 14959 21126 23138 29918 34707 44877 49151 69414 80983 89754 98302 147453 161966 242949 294906 344057 485898 688114 1032171 1074911 2064342 2149822 3224733 6449466 7524377 15048754 22573131 24722953 45146262 49445906 74168859 148337718 173060671 346121342 519182013 1038364026