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629489664 = 214331423
BaseRepresentation
bin100101100001010…
…100000000000000
31121212111101111000
4211201110000000
52242122132124
6142244052000
721412400556
oct4541240000
91555441430
10629489664
112a336a9a1
12156994000
13a05524bb
145d861bd6
153a3e56c9
hex25854000

629489664 has 120 divisors (see below), whose sum is σ = 1866408320. Its totient is φ = 209682432.

The previous prime is 629489647. The next prime is 629489669. The reversal of 629489664 is 466984926.

629489664 is a `hidden beast` number, since 629 + 4 + 8 + 9 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 629489664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629489669) 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, 441657 + ... + 443079.

Almost surely, 2629489664 is an apocalyptic number.

629489664 is a gapful number since it is divisible by the number (64) 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 629489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933204160).

629489664 is an abundant number, since it is smaller than the sum of its proper divisors (1236918656).

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

629489664 is an equidigital number, since it uses as much as digits as its factorization.

629489664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1428 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 629489664 is about 25089.6325999406. The cubic root of 629489664 is about 857.0303486614.

The spelling of 629489664 in words is "six hundred twenty-nine million, four hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1423 1536 1728 2048 2304 2846 3072 3456 4096 4269 4608 5692 6144 6912 8192 8538 9216 11384 12288 12807 13824 16384 17076 18432 22768 24576 25614 27648 34152 36864 38421 45536 49152 51228 55296 68304 73728 76842 91072 102456 110592 136608 147456 153684 182144 204912 221184 273216 307368 364288 409824 442368 546432 614736 728576 819648 1092864 1229472 1457152 1639296 2185728 2458944 2914304 3278592 4371456 4917888 5828608 6557184 8742912 9835776 11657216 13114368 17485824 19671552 23314432 26228736 34971648 39343104 52457472 69943296 78686208 104914944 157372416 209829888 314744832 629489664