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1795629056 = 2131321297
BaseRepresentation
bin110101100000111…
…0010000000000000
311122010210101222212
41223001302000000
512134140112211
6454102321252
762332411064
oct15301620000
94563711885
101795629056
11841649761
12421429228
1322801c700
14130699aa4
15a799338b
hex6b072000

1795629056 has 84 divisors (see below), whose sum is σ = 3891519522. Its totient is φ = 828112896.

The previous prime is 1795629053. The next prime is 1795629061. The reversal of 1795629056 is 6509265971.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1499238400 + 296390656 = 38720^2 + 17216^2 .

It is a super-2 number, since 2×17956290562 = 6448567413502902272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1795628995 and 1795629013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1795629053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1383800 + ... + 1385096.

Almost surely, 21795629056 is an apocalyptic number.

1795629056 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 1795629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945759761).

1795629056 is an abundant number, since it is smaller than the sum of its proper divisors (2095890466).

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

1795629056 is an equidigital number, since it uses as much as digits as its factorization.

1795629056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 50.

The square root of 1795629056 is about 42374.8634924055. The cubic root of 1795629056 is about 1215.4549727379.

The spelling of 1795629056 in words is "one billion, seven hundred ninety-five million, six hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1297 1352 1664 2048 2594 2704 3328 4096 5188 5408 6656 8192 10376 10816 13312 16861 20752 21632 26624 33722 41504 43264 53248 67444 83008 86528 106496 134888 166016 173056 219193 269776 332032 346112 438386 539552 664064 692224 876772 1079104 1328128 1384448 1753544 2158208 2656256 3507088 4316416 5312512 7014176 8632832 10625024 14028352 17265664 28056704 34531328 56113408 69062656 112226816 138125312 224453632 448907264 897814528 1795629056