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1040827728 = 243314316267
BaseRepresentation
bin111110000010011…
…100010101010000
32200112111112020010
4332002130111100
54112422441403
6251140314520
734535614113
oct7602342520
92615445203
101040827728
1149457a306
122506a2a40
131378336c5
149c33857a
1561598603
hex3e09c550

1040827728 has 80 divisors (see below), whose sum is σ = 2840262656. Its totient is φ = 327922560.

The previous prime is 1040827721. The next prime is 1040827769. The reversal of 1040827728 is 8277280401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040827721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55851 + ... + 72117.

Almost surely, 21040827728 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 1040827728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420131328).

1040827728 is an abundant number, since it is smaller than the sum of its proper divisors (1799434928).

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

1040827728 is a wasteful number, since it uses less digits than its factorization.

1040827728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16352 (or 16346 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 1040827728 is about 32261.8618185622. The cubic root of 1040827728 is about 1013.4281211348.

The spelling of 1040827728 in words is "one billion, forty million, eight hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 43 48 62 86 93 124 129 172 186 248 258 344 372 496 516 688 744 1032 1333 1488 2064 2666 3999 5332 7998 10664 15996 16267 21328 31992 32534 48801 63984 65068 97602 130136 195204 260272 390408 504277 699481 780816 1008554 1398962 1512831 2017108 2098443 2797924 3025662 4034216 4196886 5595848 6051324 8068432 8393772 11191696 12102648 16787544 21683911 24205296 33575088 43367822 65051733 86735644 130103466 173471288 260206932 346942576 520413864 1040827728