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1085263464 = 233234759709
BaseRepresentation
bin100000010101111…
…1100111001101000
32210122010002121010
41000223330321220
54210311412324
6255404543520
735615405265
oct10053747150
92718102533
101085263464
1150766a55a
12263551ba0
13143ac123c
14a41c426c
1565424829
hex40afce68

1085263464 has 128 divisors (see below), whose sum is σ = 2944512000. Its totient is φ = 332454144.

The previous prime is 1085263463. The next prime is 1085263513. The reversal of 1085263464 is 4643625801.

It is not an unprimeable number, because it can be changed into a prime (1085263463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1530342 + ... + 1531050.

It is an arithmetic number, because the mean of its divisors is an integer number (23004000).

Almost surely, 21085263464 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 1085263464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472256000).

1085263464 is an abundant number, since it is smaller than the sum of its proper divisors (1859248536).

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

1085263464 is a wasteful number, since it uses less digits than its factorization.

1085263464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 1085263464 is about 32943.3371715739. The cubic root of 1085263464 is about 1027.6496078057.

The spelling of 1085263464 in words is "one billion, eighty-five million, two hundred sixty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 47 59 69 92 94 118 138 141 177 184 188 236 276 282 354 376 472 552 564 708 709 1081 1128 1357 1416 1418 2127 2162 2714 2773 2836 3243 4071 4254 4324 5428 5546 5672 6486 8142 8319 8508 8648 10856 11092 12972 16284 16307 16638 17016 22184 25944 32568 32614 33276 33323 41831 48921 63779 65228 66552 66646 83662 97842 99969 125493 127558 130456 133292 167324 191337 195684 199938 250986 255116 266584 334648 382674 391368 399876 501972 510232 765348 766429 799752 962113 1003944 1530696 1532858 1924226 1966057 2299287 2886339 3065716 3848452 3932114 4598574 5772678 5898171 6131432 7696904 7864228 9197148 11545356 11796342 15728456 18394296 23090712 23592684 45219311 47185368 90438622 135657933 180877244 271315866 361754488 542631732 1085263464