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1671729056 = 25233895839
BaseRepresentation
bin110001110100100…
…1000111110100000
311022111122122010222
41203221020332200
511410430312211
6433514542212
756266314434
oct14351107640
94274578128
101671729056
11788713868
123a7a37968
1320845b5ba
1411c0469c4
159bb6c1db
hex63a48fa0

1671729056 has 48 divisors (see below), whose sum is σ = 3443731200. Its totient is φ = 797330688.

The previous prime is 1671729049. The next prime is 1671729077. The reversal of 1671729056 is 6509271761.

It is a super-2 number, since 2×16717290562 = 5589356073349302272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1671728998 and 1671729016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283385 + ... + 289223.

It is an arithmetic number, because the mean of its divisors is an integer number (71744400).

Almost surely, 21671729056 is an apocalyptic number.

1671729056 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 1671729056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721865600).

1671729056 is an abundant number, since it is smaller than the sum of its proper divisors (1772002144).

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

1671729056 is a wasteful number, since it uses less digits than its factorization.

1671729056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 44.

The square root of 1671729056 is about 40886.7833902350. The cubic root of 1671729056 is about 1186.8303133878.

The spelling of 1671729056 in words is "one billion, six hundred seventy-one million, seven hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 389 736 778 1556 3112 5839 6224 8947 11678 12448 17894 23356 35788 46712 71576 93424 134297 143152 186848 268594 286304 537188 1074376 2148752 2271371 4297504 4542742 9085484 18170968 36341936 52241533 72683872 104483066 208966132 417932264 835864528 1671729056