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1144794976 = 251317315907
BaseRepresentation
bin100010000111100…
…0010111101100000
32221210010121110221
41010033002331200
54321031414401
6305332532424
740240411453
oct10417027540
92853117427
101144794976
11538230456
1227b481114
13153235ba0
14ac07d49a
156a7837a1
hex443c2f60

1144794976 has 48 divisors (see below), whose sum is σ = 2441368944. Its totient is φ = 525279744.

The previous prime is 1144794961. The next prime is 1144795007. The reversal of 1144794976 is 6794974411.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 64015 + ... + 79921.

It is an arithmetic number, because the mean of its divisors is an integer number (50861853).

Almost surely, 21144794976 is an apocalyptic number.

1144794976 is a gapful number since it is divisible by the number (16) 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 1144794976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220684472).

1144794976 is an abundant number, since it is smaller than the sum of its proper divisors (1296573968).

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

1144794976 is a wasteful number, since it uses less digits than its factorization.

1144794976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16103 (or 16095 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 52.

The square root of 1144794976 is about 33834.8189887282. The cubic root of 1144794976 is about 1046.1065104614.

The spelling of 1144794976 in words is "one billion, one hundred forty-four million, seven hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 173 208 346 416 692 1384 2249 2768 4498 5536 8996 15907 17992 31814 35984 63628 71968 127256 206791 254512 413582 509024 827164 1654328 2751911 3308656 5503822 6617312 11007644 22015288 35774843 44030576 71549686 88061152 143099372 286198744 572397488 1144794976