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1092945408 = 293799007
BaseRepresentation
bin100000100100101…
…0000011000000000
32211011120101020120
41001021100120000
54214243223113
6300241340240
736040611522
oct10111203000
92734511216
101092945408
11510a37075
12266037680
13145580979
14a5223a12
1565e40a23
hex41250600

1092945408 has 80 divisors (see below), whose sum is σ = 2948858880. Its totient is φ = 359663616.

The previous prime is 1092945407. The next prime is 1092945431. The reversal of 1092945408 is 8045492901.

It is a self number, because there is not a number n which added to its sum of digits gives 1092945408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1092945407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116841 + ... + 125847.

It is an arithmetic number, because the mean of its divisors is an integer number (36860736).

Almost surely, 21092945408 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 1092945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474429440).

1092945408 is an abundant number, since it is smaller than the sum of its proper divisors (1855913472).

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

1092945408 is an frugal number, since it uses more digits than its factorization.

1092945408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9107 (or 9091 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1092945408 is about 33059.7248627390. The cubic root of 1092945408 is about 1030.0686189243.

The spelling of 1092945408 in words is "one billion, ninety-two million, nine hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 948 1264 1536 1896 2528 3792 5056 7584 9007 10112 15168 18014 20224 27021 30336 36028 40448 54042 60672 72056 108084 121344 144112 216168 288224 432336 576448 711553 864672 1152896 1423106 1729344 2134659 2305792 2846212 3458688 4269318 4611584 5692424 6917376 8538636 11384848 13834752 17077272 22769696 34154544 45539392 68309088 91078784 136618176 182157568 273236352 364315136 546472704 1092945408