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1144749936 = 243115713797
BaseRepresentation
bin100010000111011…
…0111111101110000
32221210001022200210
41010032313331300
54321023444221
6305331544120
740240133241
oct10416677560
92853038623
101144749936
115381aa630
1227b45b040
1315321b535
14ac06acc8
156a775276
hex443b7f70

1144749936 has 80 divisors (see below), whose sum is σ = 3232614528. Its totient is φ = 346195200.

The previous prime is 1144749917. The next prime is 1144749967. The reversal of 1144749936 is 6399474411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299590 + ... + 303386.

Almost surely, 21144749936 is an apocalyptic number.

1144749936 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 1144749936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616307264).

1144749936 is an abundant number, since it is smaller than the sum of its proper divisors (2087864592).

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

1144749936 is a wasteful number, since it uses less digits than its factorization.

1144749936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4384 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 1144749936 is about 33834.1533956445. The cubic root of 1144749936 is about 1046.0927911911.

The spelling of 1144749936 in words is "one billion, one hundred forty-four million, seven hundred forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 571 1142 1713 2284 3426 3797 4568 6281 6852 7594 9136 11391 12562 13704 15188 18843 22782 25124 27408 30376 37686 41767 45564 50248 60752 75372 83534 91128 100496 125301 150744 167068 182256 250602 301488 334136 501204 668272 1002408 2004816 2168087 4336174 6504261 8672348 13008522 17344696 23848957 26017044 34689392 47697914 52034088 71546871 95395828 104068176 143093742 190791656 286187484 381583312 572374968 1144749936