Search a number
-
+
1475164368 = 2432149197349
BaseRepresentation
bin101011111101101…
…0011100011010000
310210210210010002100
41113323103203100
511010120224433
6402213520400
751361455516
oct12773234320
93723703070
101475164368
11697767907
12352043100
131a6807b32
14ddcba4b6
1589790b13
hex57ed38d0

1475164368 has 120 divisors (see below), whose sum is σ = 4189185000. Its totient is φ = 484549632.

The previous prime is 1475164343. The next prime is 1475164417. The reversal of 1475164368 is 8634615741.

It can be written as a sum of positive squares in 4 ways, for example, as 494973504 + 980190864 = 22248^2 + 31308^2 .

It is a super-2 number, since 2×14751643682 = 4352219825233678848, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 4226658 + ... + 4227006.

It is an arithmetic number, because the mean of its divisors is an integer number (34909875).

Almost surely, 21475164368 is an apocalyptic number.

1475164368 is a gapful number since it is divisible by the number (18) 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 1475164368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094592500).

1475164368 is an abundant number, since it is smaller than the sum of its proper divisors (2714020632).

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

1475164368 is a wasteful number, since it uses less digits than its factorization.

1475164368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 700 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1475164368 is about 38407.8685688232. The cubic root of 1475164368 is about 1138.3613391258.

The spelling of 1475164368 in words is "one billion, four hundred seventy-five million, one hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 197 298 349 394 447 591 596 698 788 894 1047 1182 1192 1341 1396 1576 1773 1788 2094 2364 2384 2682 2792 3141 3152 3546 3576 4188 4728 5364 5584 6282 7092 7152 8376 9456 10728 12564 14184 16752 21456 25128 28368 29353 50256 52001 58706 68753 88059 104002 117412 137506 156003 176118 206259 208004 234824 264177 275012 312006 352236 412518 416008 468009 469648 528354 550024 618777 624012 704472 825036 832016 936018 1056708 1100048 1237554 1248024 1408944 1650072 1872036 2113416 2475108 2496048 3300144 3744072 4226832 4950216 7488144 9900432 10244197 20488394 30732591 40976788 61465182 81953576 92197773 122930364 163907152 184395546 245860728 368791092 491721456 737582184 1475164368