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1629056 = 27111389
BaseRepresentation
bin110001101101110000000
310001202122102
412031232000
5404112211
654525532
716563302
oct6155600
93052572
101629056
11a12a30
126668a8
13450650
14305972
15222a3b
hex18db80

1629056 has 64 divisors (see below), whose sum is σ = 3855600. Its totient is φ = 675840.

The previous prime is 1629031. The next prime is 1629071. The reversal of 1629056 is 6509261.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×16290562 = 5307646902272, which contains 22 as substring.

It is a congruent number.

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, 18260 + ... + 18348.

21629056 is an apocalyptic number.

1629056 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 1629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927800).

1629056 is an abundant number, since it is smaller than the sum of its proper divisors (2226544).

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

1629056 is a wasteful number, since it uses less digits than its factorization.

1629056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 1629056 is about 1276.3447810055. The cubic root of 1629056 is about 117.6644686392.

The spelling of 1629056 in words is "one million, six hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 89 104 128 143 176 178 208 286 352 356 416 572 704 712 832 979 1144 1157 1408 1424 1664 1958 2288 2314 2848 3916 4576 4628 5696 7832 9152 9256 11392 12727 15664 18304 18512 25454 31328 37024 50908 62656 74048 101816 125312 148096 203632 407264 814528 1629056