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1085464744 = 237136124443
BaseRepresentation
bin100000010110010…
…1110000010101000
32210122111022200221
41000230232002220
54210334332434
6255413135424
735620204150
oct10054560250
92718438627
101085464744
11507797801
1226362a574
13143b61a40
14a4237760
15654642b4
hex40b2e0a8

1085464744 has 64 divisors (see below), whose sum is σ = 2546087040. Its totient is φ = 422357760.

The previous prime is 1085464733. The next prime is 1085464747. The reversal of 1085464744 is 4474645801.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1085464744.

It is not an unprimeable number, because it can be changed into a prime (1085464747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32187 + ... + 56629.

It is an arithmetic number, because the mean of its divisors is an integer number (39782610).

Almost surely, 21085464744 is an apocalyptic number.

1085464744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085464744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273043520).

1085464744 is an abundant number, since it is smaller than the sum of its proper divisors (1460622296).

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

1085464744 is a wasteful number, since it uses less digits than its factorization.

1085464744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24530 (or 24526 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The square root of 1085464744 is about 32946.3919724148. The cubic root of 1085464744 is about 1027.7131353986.

The spelling of 1085464744 in words is "one billion, eighty-five million, four hundred sixty-four thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 61 91 104 122 182 244 364 427 488 728 793 854 1586 1708 3172 3416 5551 6344 11102 22204 24443 44408 48886 97772 171101 195544 317759 342202 635518 684404 1271036 1368808 1491023 2224313 2542072 2982046 4448626 5964092 8897252 10437161 11928184 17794504 19383299 20874322 38766598 41748644 77533196 83497288 135683093 155066392 271366186 542732372 1085464744