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1632813056 = 214723619
BaseRepresentation
bin110000101010010…
…1100000000000000
311012210102111102122
41201110230000000
511321000004211
6430004503412
755314452630
oct14124540000
94183374378
101632813056
11768753686
123969aab68
13200384294
14116bd66c0
15985316db
hex6152c000

1632813056 has 120 divisors (see below), whose sum is σ = 3900583680. Its totient is φ = 668270592.

The previous prime is 1632813019. The next prime is 1632813137. The reversal of 1632813056 is 6503182361.

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, 2637515 + ... + 2638133.

It is an arithmetic number, because the mean of its divisors is an integer number (32504864).

Almost surely, 21632813056 is an apocalyptic number.

1632813056 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 1632813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950291840).

1632813056 is an abundant number, since it is smaller than the sum of its proper divisors (2267770624).

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

1632813056 is an frugal number, since it uses more digits than its factorization.

1632813056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 1632813056 is about 40408.0815679240. The cubic root of 1632813056 is about 1177.5485484767.

The spelling of 1632813056 in words is "one billion, six hundred thirty-two million, eight hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 512 619 644 736 896 1024 1238 1288 1472 1792 2048 2476 2576 2944 3584 4096 4333 4952 5152 5888 7168 8192 8666 9904 10304 11776 14237 14336 16384 17332 19808 20608 23552 28474 28672 34664 39616 41216 47104 56948 57344 69328 79232 82432 94208 99659 113896 114688 138656 158464 164864 188416 199318 227792 277312 316928 329728 376832 398636 455584 554624 633856 659456 797272 911168 1109248 1267712 1318912 1594544 1822336 2218496 2535424 2637824 3189088 3644672 4436992 5070848 6378176 7289344 8873984 10141696 12756352 14578688 17747968 25512704 29157376 35495936 51025408 58314752 70991872 102050816 116629504 204101632 233259008 408203264 816406528 1632813056