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647630464 = 27131312971
BaseRepresentation
bin100110100110100…
…000111010000000
31200010122000222111
4212212200322000
52311243133324
6144132545104
722022524315
oct4646407200
91603560874
10647630464
11302630398
12160a82194
13a42345c0
1462024d0c
153bcca794
hex269a0e80

647630464 has 64 divisors (see below), whose sum is σ = 1400525280. Its totient is φ = 296524800.

The previous prime is 647630461. The next prime is 647630537. The reversal of 647630464 is 464036746.

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

It is not an unprimeable number, because it can be changed into a prime (647630461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216499 + ... + 219469.

Almost surely, 2647630464 is an apocalyptic number.

647630464 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 647630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700262640).

647630464 is an abundant number, since it is smaller than the sum of its proper divisors (752894816).

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

647630464 is a wasteful number, since it uses less digits than its factorization.

647630464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The square root of 647630464 is about 25448.5847150681. The cubic root of 647630464 is about 865.1852161102.

The spelling of 647630464 in words is "six hundred forty-seven million, six hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 131 208 262 416 524 832 1048 1664 1703 2096 2971 3406 4192 5942 6812 8384 11884 13624 16768 23768 27248 38623 47536 54496 77246 95072 108992 154492 190144 217984 308984 380288 389201 617968 778402 1235936 1556804 2471872 3113608 4943744 5059613 6227216 10119226 12454432 20238452 24908864 40476904 49817728 80953808 161907616 323815232 647630464