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649373904 = 243223892203
BaseRepresentation
bin100110101101001…
…010100011010000
31200020220121112100
4212231022203100
52312214431104
6144234200400
722043405244
oct4655124320
91606817470
10649373904
11303611253
12161583100
13a46c501a
146235a424
153c022139
hex26b4a8d0

649373904 has 120 divisors (see below), whose sum is σ = 1918537920. Its totient is φ = 204627456.

The previous prime is 649373899. The next prime is 649373941. The reversal of 649373904 is 409373946.

649373904 is a `hidden beast` number, since 6 + 493 + 73 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 649373904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293667 + ... + 295869.

It is an arithmetic number, because the mean of its divisors is an integer number (15987816).

Almost surely, 2649373904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649373904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959268960).

649373904 is an abundant number, since it is smaller than the sum of its proper divisors (1269164016).

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

649373904 is a wasteful number, since it uses less digits than its factorization.

649373904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 649373904 is about 25482.8158569653. The cubic root of 649373904 is about 865.9608883836.

The spelling of 649373904 in words is "six hundred forty-nine million, three hundred seventy-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 89 92 138 144 178 184 207 267 276 356 368 414 534 552 712 801 828 1068 1104 1424 1602 1656 2047 2136 2203 3204 3312 4094 4272 4406 6141 6408 6609 8188 8812 12282 12816 13218 16376 17624 18423 19827 24564 26436 32752 35248 36846 39654 49128 50669 52872 73692 79308 98256 101338 105744 147384 152007 158616 196067 202676 294768 304014 317232 392134 405352 456021 588201 608028 784268 810704 912042 1176402 1216056 1568536 1764603 1824084 2352804 2432112 3137072 3529206 3648168 4509541 4705608 7058412 7296336 9019082 9411216 13528623 14116824 18038164 27057246 28233648 36076328 40585869 54114492 72152656 81171738 108228984 162343476 216457968 324686952 649373904