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664962048 = 210348017
BaseRepresentation
bin100111101000101…
…000010000000000
31201100020120110000
4213220220100000
52330212241143
6145552240000
722323040602
oct4750502000
91640216400
10664962048
11311398913
12166840000
13a79c228a
1464457172
153d5a0bd3
hex27a28400

664962048 has 110 divisors (see below), whose sum is σ = 1985954366. Its totient is φ = 221626368.

The previous prime is 664962043. The next prime is 664962091. The reversal of 664962048 is 840269466.

It can be written as a sum of positive squares in only one way, i.e., 585252864 + 79709184 = 24192^2 + 8928^2 .

It is a junction number, because it is equal to n+sod(n) for n = 664961994 and 664962012.

It is not an unprimeable number, because it can be changed into a prime (664962041) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78936 + ... + 86952.

Almost surely, 2664962048 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 664962048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992977183).

664962048 is an abundant number, since it is smaller than the sum of its proper divisors (1320992318).

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

664962048 is an equidigital number, since it uses as much as digits as its factorization.

664962048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8049 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 664962048 is about 25786.8580482384. The cubic root of 664962048 is about 872.8352684537.

The spelling of 664962048 in words is "six hundred sixty-four million, nine hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 8017 9216 10368 13824 16034 20736 24051 27648 32068 41472 48102 64136 72153 82944 96204 128272 144306 192408 216459 256544 288612 384816 432918 513088 577224 649377 769632 865836 1026176 1154448 1298754 1539264 1731672 2052352 2308896 2597508 3078528 3463344 4104704 4617792 5195016 6157056 6926688 8209408 9235584 10390032 12314112 13853376 18471168 20780064 24628224 27706752 36942336 41560128 55413504 73884672 83120256 110827008 166240512 221654016 332481024 664962048