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1040764842 = 233131818191
BaseRepresentation
bin111110000010001…
…100111110101010
32200112101022222000
4332002030332222
54112413433332
6251135111430
734535232555
oct7602147652
92615338860
101040764842
11494537037
12250672576
13137810bb0
149c31d69c
1561584b7c
hex3e08cfaa

1040764842 has 64 divisors (see below), whose sum is σ = 2504785920. Its totient is φ = 318427200.

The previous prime is 1040764831. The next prime is 1040764867. The reversal of 1040764842 is 2484670401.

1040764842 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 7 + 648 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1040764797 and 1040764806.

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, 122967 + ... + 131157.

It is an arithmetic number, because the mean of its divisors is an integer number (39137280).

Almost surely, 21040764842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040764842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252392960).

1040764842 is an abundant number, since it is smaller than the sum of its proper divisors (1464021078).

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

1040764842 is a wasteful number, since it uses less digits than its factorization.

1040764842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8396 (or 8390 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1040764842 is about 32260.8871855688. The cubic root of 1040764842 is about 1013.4077105446.

The spelling of 1040764842 in words is "one billion, forty million, seven hundred sixty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 181 234 351 362 543 702 1086 1629 2353 3258 4706 4887 7059 8191 9774 14118 16382 21177 24573 42354 49146 63531 73719 106483 127062 147438 212966 221157 319449 442314 638898 958347 1482571 1916694 2875041 2965142 4447713 5750082 8895426 13343139 19273423 26686278 38546846 40029417 57820269 80058834 115640538 173460807 346921614 520382421 1040764842