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1082375424 = 28321336137
BaseRepresentation
bin100000010000011…
…1011110100000000
32210102200100221200
41000200323310000
54204042003144
6255223021200
735552016324
oct10040736400
92712610850
101082375424
11505a77749
1226259a800
1314331c840
14a3a71984
1565053c69
hex4083bd00

1082375424 has 108 divisors (see below), whose sum is σ = 3360906276. Its totient is φ = 333029376.

The previous prime is 1082375401. The next prime is 1082375429. The reversal of 1082375424 is 4245732801.

It is a happy number.

1082375424 is a `hidden beast` number, since 1 + 0 + 82 + 37 + 542 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 385415424 + 696960000 = 19632^2 + 26400^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082375429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11884 + ... + 48020.

Almost surely, 21082375424 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 1082375424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680453138).

1082375424 is an abundant number, since it is smaller than the sum of its proper divisors (2278530852).

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

1082375424 is a wasteful number, since it uses less digits than its factorization.

1082375424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36172 (or 36155 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1082375424 is about 32899.4745246790. The cubic root of 1082375424 is about 1026.7372242133.

The spelling of 1082375424 in words is "one billion, eighty-two million, three hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 36137 72274 108411 144548 216822 289096 325233 433644 469781 578192 650466 867288 939562 1156384 1300932 1409343 1734576 1879124 2312768 2601864 2818686 3469152 3758248 4228029 4625536 5203728 5637372 6938304 7516496 8456058 9251072 10407456 11274744 13876608 15032992 16912116 20814912 22549488 27753216 30065984 33824232 41629824 45098976 60131968 67648464 83259648 90197952 120263936 135296928 180395904 270593856 360791808 541187712 1082375424