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646607052 = 2232713316367
BaseRepresentation
bin100110100010100…
…111000011001100
31200001201001010100
4212202213003030
52311012411202
6144055011100
722011032520
oct4642470314
91601631110
10646607052
11301aa14a3
12160669a90
13a3c66830
1461c39d80
153bb7741c
hex268a70cc

646607052 has 144 divisors (see below), whose sum is σ = 2076884992. Its totient is φ = 165006720.

The previous prime is 646607047. The next prime is 646607111. The reversal of 646607052 is 250706646.

646607052 is a `hidden beast` number, since 6 + 46 + 607 + 0 + 5 + 2 = 666.

It is a super-2 number, since 2×6466070522 = 836201359392261408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 646606998 and 646607016.

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 47 ways as a sum of consecutive naturals, for example, 98373 + ... + 104739.

Almost surely, 2646607052 is an apocalyptic number.

646607052 is a gapful number since it is divisible by the number (62) 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 646607052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038442496).

646607052 is an abundant number, since it is smaller than the sum of its proper divisors (1430277940).

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

646607052 is a wasteful number, since it uses less digits than its factorization.

646607052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 646607052 is about 25428.4693208223. The cubic root of 646607052 is about 864.7292422204.

The spelling of 646607052 in words is "six hundred forty-six million, six hundred seven thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 558 651 806 819 868 1092 1116 1209 1302 1612 1638 1953 2418 2604 2821 3276 3627 3906 4836 5642 6367 7254 7812 8463 11284 12734 14508 16926 19101 25389 25468 33852 38202 44569 50778 57303 76404 82771 89138 101556 114606 133707 165542 178276 197377 229212 248313 267414 331084 394754 401121 496626 534828 579397 592131 744939 789508 802242 993252 1158794 1184262 1381639 1489878 1604484 1738191 1776393 2317588 2368524 2565901 2763278 2979756 3476382 3552786 4144917 5131802 5214573 5526556 6952764 7105572 7697703 8289834 10263604 10429146 12434751 15395406 16579668 17961307 20858292 23093109 24869502 30790812 35922614 46186218 49739004 53883921 71845228 92372436 107767842 161651763 215535684 323303526 646607052