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1149479424 = 29359239
BaseRepresentation
bin100010010000011…
…1010101000000000
32222002221121100000
41010200322220000
54323231320144
6310021200000
740325261652
oct10440725000
92862847300
101149479424
1153a93a9a5
12280b60000
131541b6152
14ac93c6d2
156adab769
hex4483aa00

1149479424 has 120 divisors (see below), whose sum is σ = 3440717280. Its totient is φ = 383118336.

The previous prime is 1149479417. The next prime is 1149479431. The reversal of 1149479424 is 4249749411.

It is an interprime number because it is at equal distance from previous prime (1149479417) and next prime (1149479431).

It is a self number, because there is not a number n which added to its sum of digits gives 1149479424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119797 + ... + 129035.

It is an arithmetic number, because the mean of its divisors is an integer number (28672644).

Almost surely, 21149479424 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 1149479424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720358640).

1149479424 is an abundant number, since it is smaller than the sum of its proper divisors (2291237856).

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

1149479424 is an frugal number, since it uses more digits than its factorization.

1149479424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9272 (or 9244 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1149479424 is about 33903.9735724295. The cubic root of 1149479424 is about 1047.5314417647.

The spelling of 1149479424 in words is "one billion, one hundred forty-nine million, four hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3456 3888 4608 5184 6912 7776 9239 10368 13824 15552 18478 20736 27717 31104 36956 41472 55434 62208 73912 83151 110868 124416 147824 166302 221736 249453 295648 332604 443472 498906 591296 665208 748359 886944 997812 1182592 1330416 1496718 1773888 1995624 2245077 2365184 2660832 2993436 3547776 3991248 4490154 4730368 5321664 5986872 7095552 7982496 8980308 10643328 11973744 14191104 15964992 17960616 21286656 23947488 31929984 35921232 42573312 47894976 63859968 71842464 95789952 127719936 143684928 191579904 287369856 383159808 574739712 1149479424